A156824 - cp's OEIS frontend

A156824 Generalized q-Stirling 2nd numbers (see A022166):q=3;m=2; t1(n, k, q_) = (1/(q - 1)^k)Sum[(-1)^(k - j)Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	21
6	1
7	18
8	255
9	3400
10	1
11	58
12	2575
13	106400
14	4300541
15	1
16	179
17	24234
18	3038714
19	371984935
20	45182779173
21	1
22	543
23	221886
24	83805218
25	30877084287
26	11284441459641
27	4113010719221412
28	1
29	1636
30	2010034
31	2280772380
32	2523761295627
33	2769755537579952
34	3031455813294108948
35	3314879002466198503080

[1, 1, 1, 1, 5, 21, 1, 18, 255, 3400, 1, 58, 2575, 106400, 4300541, 1, 179, 24234, 3038714, 371984935, 45182779173, 1, 543, 221886, 83805218, 30877084287, 11284441459641, 4113010719221412, 1, 1636, 2010034, 2280772380, 2523761295627, 2769755537579952, 3031455813294108948, 3314879002466198503080]

cp's OEIS Frontend

A156824 Generalized q-Stirling 2nd numbers (see A022166):q=3;m=2; t1(n, k, q_) = (1/(q - 1)^k)Sum[(-1)^(k - j)Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].

Table of values

List of values

cp's OEIS Frontend

A156824 Generalized q-Stirling 2nd numbers (see A022166):q=3;m=2; t1(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].

Table of values

List of values

A156824 Generalized q-Stirling 2nd numbers (see A022166):q=3;m=2; t1(n, k, q_) = (1/(q - 1)^k)Sum[(-1)^(k - j)Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].