Fungrim entry: 4c6267

Table of

B_{n}

for

0 \le n \le 40

$n$	$B_{n}$
0	1
1	1
2	2
3	5
4	15
5	52
6	203
7	877
8	4140
9	21147
10	115975
11	678570
12	4213597
13	27644437
14	190899322
15	1382958545
16	10480142147
17	82864869804
18	682076806159
19	5832742205057

$n$	$B_{n}$
20	51724158235372
21	474869816156751
22	4506715738447323
23	44152005855084346
24	445958869294805289
25	4638590332229999353
26	49631246523618756274
27	545717047936059989389
28	6160539404599934652455
29	71339801938860275191172
30	846749014511809332450147
31	10293358946226376485095653
32	128064670049908713818925644
33	1629595892846007606764728147
34	21195039388640360462388656799
35	281600203019560266563340426570
36	3819714729894818339975525681317
37	52868366208550447901945575624941
38	746289892095625330523099540639146
39	10738823330774692832768857986425209
40	157450588391204931289324344702531067

Table data:

\left(n, y\right)

such that

B_{n} = y

Definitions:

Fungrim symbol	Notation	Short description
`BellNumber`	$B_{n}$	Bell number

Source code for this entry:

Entry(ID("4c6267"),
    Description("Table of", BellNumber(n), "for", LessEqual(0, n, 40)),
    Table(TableRelation(Tuple(n, y), Equal(BellNumber(n), y)), TableHeadings(n, BellNumber(n)), TableSplit(2), List(Tuple(0, 1), Tuple(1, 1), Tuple(2, 2), Tuple(3, 5), Tuple(4, 15), Tuple(5, 52), Tuple(6, 203), Tuple(7, 877), Tuple(8, 4140), Tuple(9, 21147), Tuple(10, 115975), Tuple(11, 678570), Tuple(12, 4213597), Tuple(13, 27644437), Tuple(14, 190899322), Tuple(15, 1382958545), Tuple(16, 10480142147), Tuple(17, 82864869804), Tuple(18, 682076806159), Tuple(19, 5832742205057), Tuple(20, 51724158235372), Tuple(21, 474869816156751), Tuple(22, 4506715738447323), Tuple(23, 44152005855084346), Tuple(24, 445958869294805289), Tuple(25, 4638590332229999353), Tuple(26, 49631246523618756274), Tuple(27, 545717047936059989389), Tuple(28, 6160539404599934652455), Tuple(29, 71339801938860275191172), Tuple(30, 846749014511809332450147), Tuple(31, 10293358946226376485095653), Tuple(32, 128064670049908713818925644), Tuple(33, 1629595892846007606764728147), Tuple(34, 21195039388640360462388656799), Tuple(35, 281600203019560266563340426570), Tuple(36, 3819714729894818339975525681317), Tuple(37, 52868366208550447901945575624941), Tuple(38, 746289892095625330523099540639146), Tuple(39, 10738823330774692832768857986425209), Tuple(40, 157450588391204931289324344702531067))))

Topics using this entry

Stirling numbers