A271204 - cp's OEIS frontend

A271204 Triangle of generalized Stirling numbers of the second kind S(n,k) associated with the generalized Bell numbers A271049(n); S(n,k) = Sum_{j=0..k} (-1)^(k-j)binomial(k,j)Gamma((j+2)/3)Gamma(3n+j-1)/(Gamma(j)Gamma(n+(j-1)/3))/(3^(n-1)k!).

n	a(n)
0	1
1	2
2	1
3	40
4	50
5	14
6	1
7	2240
8	4240
9	2200
10	440
11	36
12	1
13	246400
14	608960
15	447200
16	141520
17	22080
18	1760
19	68
20	1
21	44844800
22	134780800
23	125843200
24	53412800
25	12015360
26	1538320
27	114800
28	4900
29	110
30	1
31	12197785600
32	42767648000
33	47935328000
34	25213686400
35	7308806400
36	1268761760
37	137790240
38	9523920
39	416000
40	11050
41	162
42	1

[1, 2, 1, 40, 50, 14, 1, 2240, 4240, 2200, 440, 36, 1, 246400, 608960, 447200, 141520, 22080, 1760, 68, 1, 44844800, 134780800, 125843200, 53412800, 12015360, 1538320, 114800, 4900, 110, 1, 12197785600, 42767648000, 47935328000, 25213686400, 7308806400, 1268761760, 137790240, 9523920, 416000, 11050, 162, 1]

cp's OEIS Frontend

A271204 Triangle of generalized Stirling numbers of the second kind S(n,k) associated with the generalized Bell numbers A271049(n); S(n,k) = Sum_{j=0..k} (-1)^(k-j)binomial(k,j)Gamma((j+2)/3)Gamma(3n+j-1)/(Gamma(j)Gamma(n+(j-1)/3))/(3^(n-1)k!).

Table of values

List of values

cp's OEIS Frontend

A271204 Triangle of generalized Stirling numbers of the second kind S(n,k) associated with the generalized Bell numbers A271049(n); S(n,k) = Sum_{j=0..k} (-1)^(k-j)*binomial(k,j)*Gamma((j+2)/3)*Gamma(3*n+j-1)/(Gamma(j)*Gamma(n+(j-1)/3))/(3^(n-1)*k!).

Table of values

List of values

A271204 Triangle of generalized Stirling numbers of the second kind S(n,k) associated with the generalized Bell numbers A271049(n); S(n,k) = Sum_{j=0..k} (-1)^(k-j)binomial(k,j)Gamma((j+2)/3)Gamma(3n+j-1)/(Gamma(j)Gamma(n+(j-1)/3))/(3^(n-1)k!).