A384364 - cp's OEIS frontend

A384364 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..kn} 3^i Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	21
8	9
9	1
10	1
11	219
12	657
13	27
14	1
15	1
16	3045
17	119241
18	22869
19	81
20	1
21	1
22	52923
23	40365873
24	80850987
25	836001
26	243
27	1
28	1
29	1103781
30	21955523049
31	747786838869
32	60579666801
33	31436181
34	729
35	1
36	1
37	26857659
38	17512689629457
39	14298291269335467
40	16117269494868801
41	48066954848379
42	1204022961
43	2187
44	1

[1, 1, 1, 1, 3, 1, 1, 21, 9, 1, 1, 219, 657, 27, 1, 1, 3045, 119241, 22869, 81, 1, 1, 52923, 40365873, 80850987, 836001, 243, 1, 1, 1103781, 21955523049, 747786838869, 60579666801, 31436181, 729, 1, 1, 26857659, 17512689629457, 14298291269335467, 16117269494868801, 48066954848379, 1204022961, 2187, 1]

cp's OEIS Frontend

A384364 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..kn} 3^i Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

Table of values

List of values

cp's OEIS Frontend

A384364 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 3^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

Table of values

List of values

A384364 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..kn} 3^i Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.