A157629 - cp's OEIS frontend

A157629 A general recursion triangle with third part a power triangle:m=2; Power triangle: f(n,k,m)=If[nk(n - k) == 0, 1, n^m - (k^m + (n - k)^m)]; Recursion: A(n,k,m)=(m(n - k) + 1)A(n - 1, k - 1, m) + (mk + 1)A(n - 1, k, m) + mf(n, k, m)A(n - 2, k - 1, m).

n	a(n)
0	1
1	1
2	1
3	1
4	10
5	1
6	1
7	43
8	43
9	1
10	1
11	148
12	590
13	148
14	1
15	1
16	469
17	5018
18	5018
19	469
20	1
21	1
22	1438
23	34047
24	91492
25	34047
26	1438
27	1
28	1
29	4351
30	204813
31	1187731
32	1187731
33	204813
34	4351
35	1
36	1
37	13096
38	1149652
39	12609880
40	27234646
41	12609880
42	1149652
43	13096
44	1
45	1
46	39337

[1, 1, 1, 1, 10, 1, 1, 43, 43, 1, 1, 148, 590, 148, 1, 1, 469, 5018, 5018, 469, 1, 1, 1438, 34047, 91492, 34047, 1438, 1, 1, 4351, 204813, 1187731, 1187731, 204813, 4351, 1, 1, 13096, 1149652, 12609880, 27234646, 12609880, 1149652, 13096, 1, 1, 39337]

cp's OEIS Frontend

A157629 A general recursion triangle with third part a power triangle:m=2; Power triangle: f(n,k,m)=If[nk(n - k) == 0, 1, n^m - (k^m + (n - k)^m)]; Recursion: A(n,k,m)=(m(n - k) + 1)A(n - 1, k - 1, m) + (mk + 1)A(n - 1, k, m) + mf(n, k, m)A(n - 2, k - 1, m).

Table of values

List of values

cp's OEIS Frontend

A157629 A general recursion triangle with third part a power triangle:m=2; Power triangle: f(n,k,m)=If[n*k*(n - k) == 0, 1, n^m - (k^m + (n - k)^m)]; Recursion: A(n,k,m)=(m*(n - k) + 1)*A(n - 1, k - 1, m) + (m*k + 1)*A(n - 1, k, m) + m*f(n, k, m)*A(n - 2, k - 1, m).

Table of values

List of values

A157629 A general recursion triangle with third part a power triangle:m=2; Power triangle: f(n,k,m)=If[nk(n - k) == 0, 1, n^m - (k^m + (n - k)^m)]; Recursion: A(n,k,m)=(m(n - k) + 1)A(n - 1, k - 1, m) + (mk + 1)A(n - 1, k, m) + mf(n, k, m)A(n - 2, k - 1, m).