A342312 - cp's OEIS frontend

A342312 T(n, k) = ((2n + 1)/2)Sum_{j, k, n} (-1)^(k + j)(n + j)binomial(2n, n - j) Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.

n	a(n)
0	1
1	0
2	3
3	0
4	0
5	10
6	0
7	0
8	-42
9	21
10	0
11	0
12	216
13	-288
14	36
15	0
16	0
17	-1320
18	3190
19	-1210
20	55
21	0
22	0
23	9360
24	-34632
25	25584
26	-4056
27	78
28	0
29	0
30	-75600
31	389340
32	-462000
33	152460
34	-11970
35	105
36	0
37	0
38	685440
39	-4621824
40	7907040
41	-4368320
42	762960
43	-32640
44	136

[1, 0, 3, 0, 0, 10, 0, 0, -42, 21, 0, 0, 216, -288, 36, 0, 0, -1320, 3190, -1210, 55, 0, 0, 9360, -34632, 25584, -4056, 78, 0, 0, -75600, 389340, -462000, 152460, -11970, 105, 0, 0, 685440, -4621824, 7907040, -4368320, 762960, -32640, 136]

cp's OEIS Frontend

A342312 T(n, k) = ((2n + 1)/2)Sum_{j, k, n} (-1)^(k + j)(n + j)binomial(2n, n - j) Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A342312 T(n, k) = ((2*n + 1)/2)*Sum_{j, k, n} (-1)^(k + j)*(n + j)*binomial(2*n, n - j)* Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.

Table of values

List of values

A342312 T(n, k) = ((2n + 1)/2)Sum_{j, k, n} (-1)^(k + j)(n + j)binomial(2n, n - j) Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.