3.14159265358979323846264338328

From Ordner, a catalog of real numbers in Fungrim.

Decimal	Expression [entries]	Frequency
`3.14159265358979323846264338328`	`Pi` [`848d97` `77e519` `bcdfc6` `4b040d` `83566f` `235d0d` `42d727` `81f7db` `cb493d` `aac129` `21851b` `8c368f` `e4cdf1` `add3ea` `a68e0e` `a0ba58` `dbdf08` `d5917b` `dabb47` `f5fa23` `8519dd` `10ca40` `84f403` `912ff9` `12b336` `826257` `d41a95` `419b45` `2f97f5` `f50c74` `cdb587` `d81f05` `b760d1` `16612f` `90ac58` `ff587a` `eda0f3` `073e1a` `20d72c` `f617c0` `7f8a58` `dc7c83` `775637` `340936` `1b881e` `69fe63` `3a1316` `9c93bb` `33690e` `ce66a9` `2245df` `26fd1b` `25435b` `23077c` `cbce7f` `420007` `24a793` `cf70ce` `62eade` `8a9884` `e03b7c` `5278da` `0d9352` `4dec89` `dc507f` `303827` `d31b04` `0650f8` `0d8639` `b7cfb3` `14ecc4` `81f531` `937fa9` `092cee` `d88dd1` `7fbbe8` `4af6db` `af31ae` `62b0c4` `612b21` `b5d706` `e00d9e` `001234` `63ba30` `23ed69` `cb93ea` `271314` `9b3fde` `f78fa0` `5a8f57` `6d0a95` `cc6d21` `d637c5` `5b87f3` `2f6805` `026e44` `3e82c3` `00cdb7` `1f9beb` `4d5410` `3b43b0` `a4f9c9` `103bfb` `b63481` `43fa0e` `db2b0a` `d6703a` `e28209` `921ef0` `2a8ec9` `6582c4` `d989cd` `1848f1` `1cec67` `61c002` `2a47d7` `e83059` `6b13be` `7efe21` `ee56b9` `c5bdcc` `298bb1` `270e67` `6b9f81` `ec1435` `3c1021` `d38a03` `8d7b3d` `921d61` `685126` `da1873` `060366` `816057` `cd5f45` `a2a294` `a8b41c` `9bf21b` `31eecc` `3fb3ca` `e3896e` `36ef64` `fc8149` `397051` `82b410` `338055` `b62aae` `c9ead2` `752619` `9a0bc8` `1fa8e7` `0fda1b` `21d9a0` `2a2a38` `a5d65f` `1448e3` `71a0ff` `06633e` `e04867` `255142` `cd55cf` `8027e8` `2aaba8` `d8cb3e` `45267a` `16d2e1` `8a34d1` `089f85` `82926c` `024a84` `b788a1` `d2f9fb` `bae475` `1165fc` `c362e8` `1a63af` `ec0054` `7ae3ed` `b0049f` `afd27a` `52ea5f` `7348e3` `488a30` `208da7` `2ba423` `f3e75c` `dfbddd` `a6776b` `c743eb` `ea3e3c` `2251c6` `1699a9` `d51efc` `3f1547` `26faf3` `375afe` `1fc63b` `700d94` `108daa` `22c4f6` `b510b6` `f183d0` `28237a` `f64eef` `40baa9` `3fe47b` `2d2dde` `03aca0` `0ed5e2` `6c4567` `4c0698` `27c319` `9206a3` `8bb972` `be0f54` `4c462b` `fb7a63` `3b8c97` `d16cb4` `4d26ec` `48910b` `9f2b18` `78131f` `bceed4` `0fbd15` `7a7d1d` `7783f9` `03ad5a` `53fcdd` `f5887b` `c6c92a` `713b6b` `84ea08` `1b2d8a` `e3d274` `0479f5` `97ba8d` `0c847f` `fc8d5d` `0455b3` `ce39ac` `e37535` `3d276b` `69d0a3` `f79ff0` `0373dc` `997777` `3047b1` `3ac0ce` `edad97` `69c5ef` `9376ec` `4a5b9a` `54d4e2` `1dc520` `cf5caa` `534335` `64c188` `f42652` `71d5ee` `a9ecff` `5babc2` `4064f5` `1ee920` `fb9942` `2371b9` `3c833f` `7ec4f0` `871996` `0888b3` `d45548` `c6c108` `ac8d3c` `2b7b1d` `1596d2` `6c3ba9` `22fb4a` `2a0316` `99c077` `57d31a` `11687b` `3c56c7` `37ffb7` `f8d280` `ae6718` `b1a5e4` `570399` `1745f5` `68b73d` `06319a` `621a9b` `b95ffa` `44ad09` `cde93e` `d5b7e8` `7dd050` `1d62a7` `5174ea` `18a4d1` `8814ad` `595f46` `bb4501` `9ee8bc` `6f3fec` `f55b36` `bd3faa` `fda595` `f551ca` `a41c92` `792c76` `1c22f1` `1232f7` `bb88c8` `7b62e4` `99ad29` `ace837` `40a376` `32e162` `936694` `622772` `e4e707` `eba27c` `8332d8` `2090c3` `2a69ce` `0f02a5` `2ef763` `429093` `f9f31d` `79f20e` `f3b870` `6d3591` `c1bee1` `38b4f3` `bbf003` `2fabeb` `d5a29e` `a92c1a` `d0dfba` `0644b6` `4dabda` `2398a1` `807c7d` `0bf328` `2d3356` `f88596` `5679f2` `e20db0` `541e2e` `781eae` `e09b77` `e96684` `127f05` `713501` `22b67a` `b6017f` `d2f183` `c4d78a` `a14442` `44e8fb` `ff58cf` `4d8b0f` `3a84d6` `04cd99` `1bae52` `0c9939` `a46f94` `13c539` `04c829` `78fca3` `056c0e` `220e8d` `6a8889` `08b69d` `ad0d7a` `8fab22` `8472cc` `7cb651` `03fbe8` `dae4a7` `4d2c10` `81f500` `c2976e` `9e30e7` `c5a9cf` `967bbb` `506d0c` `9ea739` `60541a` `8f4e31` `7ea1ad` `10cdf4` `2d4828` `951f86` `204acd` `9f3474` `0abbe1` `c4b16c` `a90f35` `9a3503` `45740a` `0ad263` `60ac50` `2f6818` `0c09cc` `6e9544` `db3eb9` `fdc94c` `42d832` `594cc3` `4a200a` `93a877` `8a857c` `618a54` `13d2a1` `64081c` `7b3ac4` `21d9b8` `487e35` `ce3a8e` `630eca` `ed6590` `a0d93c` `bc2f88` `3aed02` `f5d28c` `45a969` `d8d820` `c7f885` `cbf396` `f0f0a6` `47acde` `2f1f7b` `c7b921` `bfc13f` `a1a3d4` `67bb53` `7c90eb` `b0e1cb` `98a765` `729c78` `30a054` `b8ab9c` `bad5d9` `1fa6b7` `f0414a` `4e4380` `8d0629` `561d75` `62f12c` `7c50d1` `393b62` `c331da` `030560` `8f0a91` `b1357b` `522b04` `348b26` `a71381` `d70b12` `b049dc` `22a9cd` `9b8c9f` `44d300` `e2efbf` `7ac286` `d418d3` `f2e28a` `c62afa` `99a9c6` `06223c` `af2ea9` `ae3110` `378949` `c05ed8` `54c80d` `361801` `305a29` `0d8e03` `593e63` `a0ca3e` `6a7704` `639d7b` `98f642` `39b699` `7697af` `473c36` `591d64` `df88a0` `157c6c` `9b7d8c` `2e4da0` `51a946` `171724` `d9c818` `06260c` `3d25dd` `290f36` `67e015` `3bf702` `1d2f4a` `f93bae` `f56273` `75e141` `799894` `4a1b00` `fbc53d` `7cda09` `5f84d9` `3bfced` `2ff7e7` `ed4ce5` `a59981` `ca9123` `dea83d` `799b5e` `4cf4e4` `906569` `7a56c2` `f89d5a` `9bfd88` `100d3c` `0477b3` `43cc72` `60f858` `590136` `cc22bf` `458a97` `d1f5c5` `e1dd64` `ecb406` `9aa62c` `b7d740` `e3e4c5` `5161ab` `adf5e2` `1eaaed` `6b2078` `6430cc` `465810` `6ed553` `54aaf1` `0878a4` `13cac5` `37e644` `3fe2b0` `e2445d` `005478` `dac0aa` `e15f43` `95f771` `dec0d2` `709905` `dad27b` `a91f8d` `b89166` `74be8f` `175b7a` `98688d` `e98dd0` `2dcf0c` `3fe553` `4d0e14` `f8cd8f` `a7095f` `af8328` `45f05f` `4d2168` `babd3c` `ac236f` `86d68c` `afb22a` `042551` `ebc673` `d83109` `b64782` `eda57d` `1e3a25` `b7a578` `d8791e` `b894a3` `ed8ba7` `b120b9` `a39534` `6505a9` `f8a56f` `361f61` `483547` `0e209c` `a54fb0` `6fce07` `33ee4a` `7af1b9` `7cb17f` `63644d` `bb9eb6` `3544a0` `921f34` `19d7d9` `8107d6` `77aed2` `f5a15a` `2991b5` `ad6b74` `3a5eb6` `e1e106` `5c054e` `15b347` `5e869b` `da58f7` `fad16f` `1c25d3` `3ff35f` `b83f63` `8b4be6` `b2f31a` `4dfd41` `e7a9b1` `73b76c` `c26bc9` `c584c3` `afabeb` `f96eac` `7f4c85` `c574fd` `4a4739` `4a3612` `64a808` `1d730a` `0b8fd6` `fdc3a3` `d69b41` `8ef3d7` `e30d7e` `f1dd8a` `efebb8` `39ce44` `190843` `e54e61` `a5e568` `575b8f` `ce5423` `722241` `f9190b` `177de7` `f35a37` `03356b` `2806fd` `8ee7c9` `21b67f` `859856` `07e35f` `94db60` `69ca86` `08268d` `11302a` `8a316c` `4257f4` `f5d489` `a044e1` `b4a735` `4c1e1e` `1a7e22` `f33f09` `a2af66` `7cddc6` `5a11eb` `3c4979` `37a95a` `121b21` `af2d4b` `a0552b` `d29148` `739819` `e0b322` `2853d4` `7c00e6` `769f6e` `3b175b` `8b7991` `5c9675` `4a23c7` `3e05c6` `ed0756` `d3baaf` `6d918c` `1976db` `64b65d` `b468f3` `a4eecf` `0c7de4` `4c1db8` `f2a0c7` `6c71c0` `08cda4` `af0dfc` `ea26d4` `89985a` `d15f11` `f48f54` `3b272e` `3f5711` `d6415e` `6d9ceb` `93831d` `7295b5` `7ce79e` `7314c4` `03e2a6` `2a4195` `925e5b` `1403b5` `e5bba3` `bf3e29` `6476bd` `e20938` `eac389` `20828c` `49514d` `5033c7` `8dff72` `b7fec0` `f0f53b` `d35c54` `987e3c` `9cc0f2` `ad04bd` `155575` `f1f42f` `35cb93` `140815` `00c331` `65647f` `a2e6f9` `af4516` `b1c84e` `abadc7` `f8dfaf` `fae9d3` `461a54` `8c96a5` `de9800` `41631f` `b5bd5d` `e1797b` `433d8b` `304559` `f8de2e` `5c178f` `1976e1` `e8ce0b` `a91200` `5d9c43` `580ba0` `57fcaf` `da0f15` `ad91ae` `1349b5` `69e5fb` `a1414f` `931d89` `9b0385` `27bc34` `c7f7a5` `acf63c` `799742` `490cf4` `d38739` `3102a7` `cdee01` `f4e249` `7b91b4` `d6a799` `d04a5b` `90a1e1` `f826a6` `2744d4` `2ae142` `c60033` `48ac55` `0c838a` `f516e3` `5fc688` `d1a0ec` `a020e9` `cb152f` `ab1c77` `98703d` `8d6a1d` `124d02` `737805` `c18c95` `417619` `80f7dc` `545e8b` `c28288` `464961` `033c51` `f6b4a2` `0cc301` `3c88a7` `b347d3` `5d2c01` `a691b3` `dbfd5b` `dbf388` `5d8804` `83a535` `415ff0` `53026a` `d0c9ff` `735409` `e464ec` `27b2c7` `c0ad12` `1d4638` `706783` `cac83e` `4704f9` `5adbc3` `15f92d` `a01b6e` `522f54` `69a1a9` `d923de` `bf8f37` `fddfe6` `2573ba` `495a98` `06c468` `da16db` `5d6f74` `0bd544` `64bd32` `81fb10` `321538` `868061` `09a494` `2516c2` `4c1988` `49d754` `a787eb` `b5a25e` `1842d9` `72ccda` `b2fdfe` `ab5af3` `d52bda` `2c26a1` `2a2f18` `fa0292` `f04e01` `56667c` `0c8084` `e2161b`] `Arg(-1)` [`a8b41c`] `Im(Log(-1))` [`590136` `2f1f7b`] `Neg(Neg(Pi))` [`a020e9` `43cc72` `60f858` `1d730a` `47acde` `2ef763` `d8791e` `f9f31d` `b7d740` `81f7db` `8f4e31` `f48f54` `33ee4a` `2d3356` `b7cfb3` `75e141` `e2445d` `5e869b` `dec0d2` `2ff7e7` `4c1e1e` `1232f7` `a2af66` `81fb10` `987e3c` `21d9b8` `ce3a8e` `06223c` `a0d93c` `73b76c` `0d8e03` `04c829`] `Mul(2, Acos(0))` [`3ff35f`] `Mul(4, Atan(1))` [`0c9939`] `Mul(2, Asin(1))` [`722241`] `CarlsonRG(0, 16, 16)` [`c5a9cf`] `Im(Mul(Pi, ConstI))` [`2f1f7b` `27c319` `a1a3d4` `7c90eb` `4c462b` `a5e568` `235d0d` `21851b` `4d26ec` `a0ba58` `0c8084` `03356b` `c331da` `10ca40` `8a316c` `2f97f5` `ff587a` `1dc520` `d29148` `71d5ee` `dc7c83` `6a7704` `d45548` `39b699` `ed0756` `6d918c` `3c56c7` `0c7de4` `24a793` `df88a0` `2e4da0` `06319a` `290f36` `cde93e` `0650f8` `f551ca` `ed4ce5` `001234` `271314` `f1f42f` `cc6d21` `35cb93` `7a56c2` `100d3c` `e4e707` `00cdb7` `103bfb` `43fa0e` `921ef0` `9aa62c` `429093` `d989cd` `1848f1` `c1bee1` `1cec67` `6b2078` `465810` `e8ce0b` `d5a29e` `54aaf1` `d0dfba` `580ba0` `0878a4` `c7f7a5` `dac0aa` `da1873` `e96684` `cd5f45` `22b67a` `4d0e14` `d6a799` `44e8fb` `4d8b0f` `82b410` `3a84d6` `2ae142` `1bae52` `1fa8e7` `ac236f` `7cb651` `2a2a38` `d1a0ec` `8d6a1d` `06633e` `737805` `ed8ba7` `8a34d1` `f8a56f` `024a84` `204acd` `c4b16c` `27b2c7` `921f34` `ec0054` `77aed2` `a90f35` `7348e3` `2ba423` `5adbc3` `f3e75c` `dfbddd` `c743eb` `42d832` `d923de` `b83f63` `495a98` `13d2a1` `700d94` `ed6590` `1842d9` `2d2dde` `f96eac` `f04e01` `c574fd`] `Im(Mul(ConstI, Pi))` [`175b7a` `0abbe1` `e1dd64` `f33f09` `871996`] `Mul(2, EllipticE(0))` [`07e35f`] `Mul(2, EllipticK(0))` [`ce5423`] `EisensteinG(2, ConstI)` [`033c51` `570399`] `Pow(Gamma(Div(1, 2)), 2)` [`8fab22`] `Neg(Mul(ConstI, Log(-1)))` [`590136`] `Sqrt(Mul(6, PolyLog(2, 1)))` [`9206a3`] `Sqrt(Mul(6, RiemannZeta(2)))` [`67bb53`] `Neg(Im(Neg(Mul(Pi, ConstI))))` [`3a84d6`] `BetaFunction(Div(1, 2), Div(1, 2))` [`591d64`] `Mul(10, Asin(Div(1, Mul(2, GoldenRatio))))` [`030560`] `Sum(Sinc(n), For(n, Neg(Infinity), Infinity))` [`4d5410`] `Div(Log(Add(Pow(640320, 3), 744)), Sqrt(163))` [`fdc3a3`] `Mul(4, DirichletL(1, DirichletCharacter(4, 3)))` [`f56273`] `Integral(Sinc(x), For(x, Neg(Infinity), Infinity))` [`9a3503`] `Sum(Pow(Sinc(n), 2), For(n, Neg(Infinity), Infinity))` [`1f9beb`] `UniqueZero(Sin(x), ForElement(x, ClosedInterval(3, 4)))` [`b89166`] `Add(Mul(8, Atan(Div(1, 3))), Mul(4, Atan(Div(1, 7))))` [`0644b6`] `Sub(Mul(8, Atan(Div(1, 2))), Mul(4, Atan(Div(1, 7))))` [`b1357b`] `Add(Mul(4, Atan(Div(1, 2))), Mul(4, Atan(Div(1, 3))))` [`cbf396`] `Integral(Div(1, Sqrt(Sub(1, Pow(x, 2)))), For(x, -1, 1))` [`fc8149`] `Mul(2, Integral(Sqrt(Sub(1, Pow(x, 2))), For(x, -1, 1)))` [`464961`] `Sub(Mul(16, Atan(Div(1, 5))), Mul(4, Atan(Div(1, 239))))` [`f8d280`] `Integral(Pow(Sinc(x), 2), For(x, Neg(Infinity), Infinity))` [`8107d6`] `Sub(Mul(2, Hypergeometric2F1(1, 1, Div(1, 2), Div(1, 2))), 4)` [`769f6e`] `Mul(2, Hypergeometric2F1(Div(1, 2), Div(1, 2), Div(3, 2), 1))` [`1448e3`] `Mul(8, Pow(Integral(Sin(Pow(x, 2)), For(x, 0, Infinity)), 2))` [`6ed553`] `Mul(8, Pow(Integral(Cos(Pow(x, 2)), For(x, 0, Infinity)), 2))` [`859856`] `Sqrt(Sub(DigammaFunction(Div(1, 4), 1), Mul(8, ConstCatalan)))` [`8ee7c9`] `Mul(2, Product(Sec(Div(Pi, Pow(2, n))), For(n, 2, Infinity)))` [`490cf4`] `Integral(JacobiTheta(2, 0, Mul(ConstI, t)), For(t, 0, Infinity))` [`d8cb3e`] `Mul(Div(Sqrt(3), 2), Mul(Gamma(Div(1, 3)), Gamma(Div(2, 3))))` [`2371b9`] `Mul(Div(1, Sqrt(2)), Mul(Gamma(Div(1, 4)), Gamma(Div(3, 4))))` [`63ba30`] `Mul(4, Sub(Hypergeometric2F1(Neg(Div(1, 2)), 1, Div(1, 2), -1), 1))` [`f55b36`] `Integral(Div(1, Add(Pow(x, 2), 1)), For(x, Neg(Infinity), Infinity))` [`04cd99`] `Mul(4, Sum(Div(Pow(-1, n), Add(Mul(2, n), 1)), For(n, 0, Infinity)))` [`f617c0`] `Pow(Integral(Exp(Neg(Pow(x, 2))), For(x, Neg(Infinity), Infinity)), 2)` [`dae4a7`] `Sum(Mul(SloaneA("A000796", n), Pow(10, Sub(1, n))), For(n, 1, Infinity))` [`483547`] `Mul(2, Hypergeometric2F1(Neg(Div(1, 2)), Neg(Div(1, 2)), Div(1, 2), 1))` [`2a0316`] `Mul(2, Sum(Atan(Div(1, Add(Add(Pow(n, 2), n), 1))), For(n, 0, Infinity)))` [`8dff72`] `Mul(Div(9, Mul(2, Sqrt(3))), Hypergeometric2F1(1, 1, Div(3, 2), Div(1, 4)))` [`2806fd`] `Mul(2, Sum(Atan(Div(1, Fibonacci(Add(Mul(2, n), 1)))), For(n, 0, Infinity)))` [`31eecc`] `Sum(Div(Factorial(n), DoubleFactorial(Add(Mul(2, n), 1))), For(n, 0, Infinity))` [`419b45`] `Mul(Mul(2, ConstE), Integral(Div(Cos(x), Add(Pow(x, 2), 1)), For(x, 0, Infinity)))` [`5033c7`] `Mul(Sqrt(3), Sub(Mul(Div(9, 2), Hypergeometric2F1(1, 1, Div(1, 2), Div(1, 4))), 6))` [`826257`] `Mul(8, Sum(Div(1, Mul(Add(Mul(4, n), 1), Add(Mul(4, n), 3))), For(n, 0, Infinity)))` [`338055`] `Add(Add(Mul(4, Atan(Div(1, 2))), Mul(4, Atan(Div(1, 5)))), Mul(4, Atan(Div(1, 8))))` [`5278da`] `Mul(2, Product(Div(Mul(4, Pow(n, 2)), Sub(Mul(4, Pow(n, 2)), 1)), For(n, 1, Infinity)))` [`69fe63`] `SequenceLimit(Div(Pow(16, n), Mul(n, Pow(Binomial(Mul(2, n), n), 2))), For(n, Infinity))` [`e1e106`] `Sum(Div(Mul(Sub(Pow(3, n), 1), RiemannZeta(Add(n, 1))), Pow(4, n)), For(n, 1, Infinity))` [`a2e6f9`] `Mul(Mul(Div(1, 2), Pow(Gamma(Div(1, 4)), Div(4, 3))), Pow(AGM(1, Sqrt(2)), Div(2, 3)))` [`dabb47`] `Mul(3, Integral(Parentheses(Sub(JacobiTheta(3, 0, Mul(ConstI, t)), 1)), For(t, 0, Infinity)))` [`e00d9e`] `Mul(Sqrt(3), Sub(Mul(Div(9, 2), Sum(Div(1, Binomial(Mul(2, n), n)), For(n, 0, Infinity))), 6))` [`f78fa0`] `Mul(Sqrt(3), Sub(Mul(Div(9, 2), Sum(Div(n, Binomial(Mul(2, n), n)), For(n, 1, Infinity))), 3))` [`dbdf08`] `Mul(Sqrt(3), Sub(Mul(3, Sum(Div(Pow(-1, n), Add(Mul(3, n), 1)), For(n, 0, Infinity))), Log(2)))` [`bad5d9`] `Sum(Div(Mul(Pow(2, n), Pow(Factorial(n), 2)), Factorial(Add(Mul(2, n), 1))), For(n, 0, Infinity))` [`93831d`] `Sub(Div(22, 7), Integral(Div(Mul(Pow(x, 4), Pow(Sub(1, x), 4)), Add(1, Pow(x, 2))), For(x, 0, 1)))` [`81f500`] `Mul(4, Sub(Mul(Sqrt(2), Hypergeometric2F1(Neg(Div(1, 2)), Neg(Div(1, 2)), Div(1, 2), Div(1, 2))), 1))` [`488a30`] `Sub(Mul(12, Hypergeometric2F1(Neg(Div(1, 2)), Neg(Div(1, 2)), Div(1, 2), Div(1, 4))), Mul(6, Sqrt(3)))` [`3d276b`] `SequenceLimit(Mul(Div(4, Pow(n, 2)), Sum(Sqrt(Sub(Pow(n, 2), Pow(k, 2))), For(k, 0, n))), For(n, Infinity))` [`dea83d`] `Add(Add(Add(Mul(4, Atan(Div(1, 3))), Mul(4, Atan(Div(1, 4)))), Mul(4, Atan(Div(1, 7)))), Mul(4, Atan(Div(1, 13))))` [`7ce79e`] `Sub(Mul(Mul(4, Sqrt(2)), Sum(Div(Pow(-1, n), Add(Mul(4, n), 1)), For(n, 0, Infinity))), Mul(2, Log(Add(1, Sqrt(2)))))` [`54c80d`] `Add(Sub(Add(Mul(48, Atan(Div(1, 49))), Mul(128, Atan(Div(1, 57)))), Mul(20, Atan(Div(1, 239)))), Mul(48, Atan(Div(1, 110443))))` [`8332d8`] `Mul(Div(Mul(5, Sqrt(Add(GoldenRatio, 2))), Mul(2, GoldenRatio)), Hypergeometric2F1(1, 1, Div(3, 2), Div(1, Pow(Mul(2, GoldenRatio), 2))))` [`42d727`] `Sub(Div(355, 113), Mul(Div(1, 3164), Integral(Div(Mul(Mul(Pow(x, 8), Pow(Sub(1, x), 8)), Add(25, Mul(816, Pow(x, 2)))), Add(1, Pow(x, 2))), For(x, 0, 1))))` [`bd3faa`] `SequenceLimit(Mul(Div(1, 2), Pow(Mul(Pow(-1, Add(n, 1)), Div(Factorial(Mul(2, n)), BernoulliB(Mul(2, n)))), Div(1, Parentheses(Mul(2, n))))), For(n, Infinity))` [`420007`] `Sum(Mul(Div(1, Pow(16, n)), Sub(Sub(Sub(Div(4, Add(Mul(8, n), 1)), Div(2, Add(Mul(8, n), 4))), Div(1, Add(Mul(8, n), 5))), Div(1, Add(Mul(8, n), 6)))), For(n, 0, Infinity))` [`fddfe6`] `Add(Sub(Mul(72, Sum(Div(1, Mul(n, Sub(Exp(Mul(Pi, n)), 1))), For(n, 1, Infinity))), Mul(96, Sum(Div(1, Mul(n, Sub(Exp(Mul(Mul(2, Pi), n)), 1))), For(n, 1, Infinity)))), Mul(24, Sum(Div(1, Mul(n, Sub(Exp(Mul(Mul(4, Pi), n)), 1))), For(n, 1, Infinity))))` [`0479f5`] `Decimal("3.1415926535897932384626433832795028841971693993751")` [`6505a9` `47acde`]	854 (#4)