A157207 - cp's OEIS frontend

A157207 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) = k if k <= floor(n/2) otherwise n-k, and m = 1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	14
8	14
9	1
10	1
11	33
12	94
13	33
14	1
15	1
16	72
17	442
18	442
19	72
20	1
21	1
22	151
23	1752
24	3818
25	1752
26	151
27	1
28	1
29	310
30	6306
31	25358
32	25358
33	6306
34	310
35	1
36	1
37	629
38	21390
39	144524
40	268852
41	144524
42	21390
43	629
44	1
45	1
46	1268
47	69822
48	746744
49	2312836
50	2312836
51	746744
52	69822
53	1268
54	1

[1, 1, 1, 1, 5, 1, 1, 14, 14, 1, 1, 33, 94, 33, 1, 1, 72, 442, 442, 72, 1, 1, 151, 1752, 3818, 1752, 151, 1, 1, 310, 6306, 25358, 25358, 6306, 310, 1, 1, 629, 21390, 144524, 268852, 144524, 21390, 629, 1, 1, 1268, 69822, 746744, 2312836, 2312836, 746744, 69822, 1268, 1]

cp's OEIS Frontend

A157207 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) = k if k <= floor(n/2) otherwise n-k, and m = 1, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157207 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) = k if k <= floor(n/2) otherwise n-k, and m = 1, read by rows.

Table of values

List of values

A157207 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) = k if k <= floor(n/2) otherwise n-k, and m = 1, read by rows.