Fungrim entry: 9933df

Table of

p\!\left({10}^{n}\right)

to 50 digits for

0 \le n \le 30

$n$	$p\!\left({10}^{n}\right)$
0	1
1	42
2	190569292
3	24061467864032622473692149727991
4	3.6167251325636293988820471890953695495016030339316 · 10¹⁰⁶
5	2.7493510569775696512677516320986352688173429315980 · 10³⁴⁶
6	1.4716849863582233986310047606098959434840304844391 · 10¹¹⁰⁷
7	9.2027175502604546685596278166825605430729405281024 · 10³⁵¹⁴
8	1.7605170459462491413603738946791352040098537975109 · 10¹¹¹³¹
9	1.6045350842809668832728039026391874671468439447108 · 10³⁵²¹⁸
10	1.0523943461106485297281294178237273482933553642403 · 10¹¹¹³⁹⁰
11	4.1604280503811938572793734321866528100080985902856 · 10³⁵²²⁶⁸
12	6.1290009628366844179973253747618396500221302871150 · 10^1113995
13	5.7144146870758614917950406422638086360770375255550 · 10^3522790
14	2.7509605970815655120620992887934278296645559629575 · 10^11140071
15	1.3655377298964220782966300424326842827176530525453 · 10^35228030
16	9.1291313906814503700935608040674225211147823841734 · 10^111400845
17	8.2913007910135095775713801190603101231989771169282 · 10^352280441
18	1.4787003107715742179708592460012268624667759844895 · 10^1114008609
19	5.6469284039962075996762611156427010823552403269436 · 10^3522804577
20	1.8381765083448826436460575151963949703661288601871 · 10^11140086259
21	1.2125743672403400786494500161173864623062685147724 · 10^35228045954
22	1.6197861609669294695161189248758019106925992523025 · 10^111400862778
23	2.5273733524499047268270064364643395566828146205663 · 10^352280459735
24	4.5725915523567534123265286016382336070839930153380 · 10^{1114008627985}
25	3.9109259209775087194782941921388925892278301362731 · 10^{3522804597566}
26	1.4696356043302577340385578467919062215335762286639 · 10^{11140086280078}
27	3.0787999182688279161294058462619983591578972390067 · 10^{35228045975896}
28	1.7285510783890260357320054674456196730673005602418 · 10^{111400862801021}
29	2.8144933818546523144681227969465158737560857425620 · 10^{352280459759213}
30	8.7580564911459301179252748158578897130776558175089 · 10^{1114008628010469}

Table data:

\left(n, y\right)

such that

\operatorname{NearestDecimal}\!\left(p\!\left({10}^{n}\right), 50\right) = y

Definitions:

Fungrim symbol	Notation	Short description
`PartitionsP`	$p\!\left(n\right)$	Integer partition function
`Pow`	${a}^{b}$	Power

Source code for this entry:

Entry(ID("9933df"),
    Description("Table of", PartitionsP(Pow(10, n)), "to 50 digits for", LessEqual(0, n, 30)),
    Table(TableRelation(Tuple(n, y), Equal(NearestDecimal(PartitionsP(Pow(10, n)), 50), y)), TableHeadings(n, PartitionsP(Pow(10, n))), TableSplit(1), List(Tuple(0, Decimal("1")), Tuple(1, Decimal("42")), Tuple(2, Decimal("190569292")), Tuple(3, Decimal("24061467864032622473692149727991")), Tuple(4, Decimal("3.6167251325636293988820471890953695495016030339316e+106")), Tuple(5, Decimal("2.7493510569775696512677516320986352688173429315980e+346")), Tuple(6, Decimal("1.4716849863582233986310047606098959434840304844391e+1107")), Tuple(7, Decimal("9.2027175502604546685596278166825605430729405281024e+3514")), Tuple(8, Decimal("1.7605170459462491413603738946791352040098537975109e+11131")), Tuple(9, Decimal("1.6045350842809668832728039026391874671468439447108e+35218")), Tuple(10, Decimal("1.0523943461106485297281294178237273482933553642403e+111390")), Tuple(11, Decimal("4.1604280503811938572793734321866528100080985902856e+352268")), Tuple(12, Decimal("6.1290009628366844179973253747618396500221302871150e+1113995")), Tuple(13, Decimal("5.7144146870758614917950406422638086360770375255550e+3522790")), Tuple(14, Decimal("2.7509605970815655120620992887934278296645559629575e+11140071")), Tuple(15, Decimal("1.3655377298964220782966300424326842827176530525453e+35228030")), Tuple(16, Decimal("9.1291313906814503700935608040674225211147823841734e+111400845")), Tuple(17, Decimal("8.2913007910135095775713801190603101231989771169282e+352280441")), Tuple(18, Decimal("1.4787003107715742179708592460012268624667759844895e+1114008609")), Tuple(19, Decimal("5.6469284039962075996762611156427010823552403269436e+3522804577")), Tuple(20, Decimal("1.8381765083448826436460575151963949703661288601871e+11140086259")), Tuple(21, Decimal("1.2125743672403400786494500161173864623062685147724e+35228045954")), Tuple(22, Decimal("1.6197861609669294695161189248758019106925992523025e+111400862778")), Tuple(23, Decimal("2.5273733524499047268270064364643395566828146205663e+352280459735")), Tuple(24, Decimal("4.5725915523567534123265286016382336070839930153380e+1114008627985")), Tuple(25, Decimal("3.9109259209775087194782941921388925892278301362731e+3522804597566")), Tuple(26, Decimal("1.4696356043302577340385578467919062215335762286639e+11140086280078")), Tuple(27, Decimal("3.0787999182688279161294058462619983591578972390067e+35228045975896")), Tuple(28, Decimal("1.7285510783890260357320054674456196730673005602418e+111400862801021")), Tuple(29, Decimal("2.8144933818546523144681227969465158737560857425620e+352280459759213")), Tuple(30, Decimal("8.7580564911459301179252748158578897130776558175089e+1114008628010469")))))

Topics using this entry

Partition function