A384362 - cp's OEIS frontend

A384362 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..kn} 2^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	2
5	1
6	1
7	10
8	4
9	1
10	1
11	74
12	148
13	8
14	1
15	1
16	730
17	13540
18	2440
19	16
20	1
21	1
22	9002
23	2308756
24	3087368
25	42256
26	32
27	1
28	1
29	133210
30	632363044
31	10208479240
32	778026256
33	752800
34	64
35	1
36	1
37	2299754
38	253970683348
39	69754997963528
40	52520969994256
41	207633589664
42	13660480
43	128
44	1

[1, 1, 1, 1, 2, 1, 1, 10, 4, 1, 1, 74, 148, 8, 1, 1, 730, 13540, 2440, 16, 1, 1, 9002, 2308756, 3087368, 42256, 32, 1, 1, 133210, 632363044, 10208479240, 778026256, 752800, 64, 1, 1, 2299754, 253970683348, 69754997963528, 52520969994256, 207633589664, 13660480, 128, 1]

cp's OEIS Frontend

A384362 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..kn} 2^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

A384362 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 2^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

Table of values

List of values

A384362 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..kn} 2^i Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.