A157274 - cp's OEIS frontend

A157274 Triangle T(n, k, m) = (m(n-k) + 1)T(n-1, k-1, m) + (mk + 1)T(n-1, k, m) + mf(n,k)T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2k+1 if k <= floor(n/2) otherwise 2(n-k)+1, and m = 3, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	17
5	1
6	1
7	84
8	84
9	1
10	1
11	355
12	1431
13	355
14	1
15	1
16	1442
17	14827
18	14827
19	1442
20	1
21	1
22	5793
23	127860
24	326591
25	127860
26	5793
27	1
28	1
29	23200
30	1009338
31	5239457
32	5239457
33	1009338
34	23200
35	1
36	1
37	92831
38	7593061
39	71229038
40	145043839
41	71229038
42	7593061
43	92831
44	1

[1, 1, 1, 1, 17, 1, 1, 84, 84, 1, 1, 355, 1431, 355, 1, 1, 1442, 14827, 14827, 1442, 1, 1, 5793, 127860, 326591, 127860, 5793, 1, 1, 23200, 1009338, 5239457, 5239457, 1009338, 23200, 1, 1, 92831, 7593061, 71229038, 145043839, 71229038, 7593061, 92831, 1]

cp's OEIS Frontend

A157274 Triangle T(n, k, m) = (m(n-k) + 1)T(n-1, k-1, m) + (mk + 1)T(n-1, k, m) + mf(n,k)T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2k+1 if k <= floor(n/2) otherwise 2(n-k)+1, and m = 3, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157274 Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2*k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 3, read by rows.

Table of values

List of values

A157274 Triangle T(n, k, m) = (m(n-k) + 1)T(n-1, k-1, m) + (mk + 1)T(n-1, k, m) + mf(n,k)T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2k+1 if k <= floor(n/2) otherwise 2(n-k)+1, and m = 3, read by rows.