A157209 - cp's OEIS frontend

A157209 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 = 3, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	11
5	1
6	1
7	54
8	54
9	1
10	1
11	229
12	822
13	229
14	1
15	1
16	932
17	8368
18	8368
19	932
20	1
21	1
22	3747
23	72066
24	174758
25	72066
26	3747
27	1
28	1
29	15010
30	570006
31	2759750
32	2759750
33	570006
34	15010
35	1
36	1
37	60065
38	4297714
39	37366190
40	73850596
41	37366190
42	4297714
43	60065
44	1
45	1
46	240288
47	31495488
48	460448520
49	1591033788
50	1591033788
51	460448520
52	31495488
53	240288
54	1

[1, 1, 1, 1, 11, 1, 1, 54, 54, 1, 1, 229, 822, 229, 1, 1, 932, 8368, 8368, 932, 1, 1, 3747, 72066, 174758, 72066, 3747, 1, 1, 15010, 570006, 2759750, 2759750, 570006, 15010, 1, 1, 60065, 4297714, 37366190, 73850596, 37366190, 4297714, 60065, 1, 1, 240288, 31495488, 460448520, 1591033788, 1591033788, 460448520, 31495488, 240288, 1]

cp's OEIS Frontend

A157209 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 = 3, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157209 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 = 3, read by rows.

Table of values

List of values

A157209 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 = 3, read by rows.