A156653 - cp's OEIS frontend

A156653 Triangle T(n,k) = ((-1)^(n+k)/(n+1))Sum_{j=0..n} (-1)^jj!Stirling2(n, j) binomial(n-j, k)*binomial(n+j, j), read by rows.

n	a(n)
0	1
1	1
2	3
3	1
4	16
5	13
6	1
7	125
8	171
9	39
10	1
11	1296
12	2551
13	1091
14	101
15	1
16	16807
17	43653
18	28838
19	5498
20	243
21	1
22	262144
23	850809
24	780585
25	243790
26	24270
27	561
28	1
29	4782969
30	18689527
31	22278189
32	10073955
33	1733035
34	98661
35	1263
36	1

[1, 1, 3, 1, 16, 13, 1, 125, 171, 39, 1, 1296, 2551, 1091, 101, 1, 16807, 43653, 28838, 5498, 243, 1, 262144, 850809, 780585, 243790, 24270, 561, 1, 4782969, 18689527, 22278189, 10073955, 1733035, 98661, 1263, 1]

cp's OEIS Frontend

A156653 Triangle T(n,k) = ((-1)^(n+k)/(n+1))Sum_{j=0..n} (-1)^jj!Stirling2(n, j) binomial(n-j, k)*binomial(n+j, j), read by rows.

Table of values

List of values

cp's OEIS Frontend

A156653 Triangle T(n,k) = ((-1)^(n+k)/(n+1))*Sum_{j=0..n} (-1)^j*j!*Stirling2(n, j)* binomial(n-j, k)*binomial(n+j, j), read by rows.

Table of values

List of values

A156653 Triangle T(n,k) = ((-1)^(n+k)/(n+1))Sum_{j=0..n} (-1)^jj!Stirling2(n, j) binomial(n-j, k)*binomial(n+j, j), read by rows.