A168646 - cp's OEIS frontend

A168646 Triangle read by rows: T(n,k) = [x^k] p(x,n), where p(x,0) = 1, p(x,n) = (8 - n)(1+x)^n - (7 - n)(1 + x^n) for 1 <= n <= 6, and p(x,n) = 6(1+x)^n - Sum_{i=0..4} (Sum_{j=0..i} binomial(n, j)(x^j + x^(n-j))) for n >= 7.

n	a(n)
0	1
1	1
2	1
3	1
4	12
5	1
6	1
7	15
8	15
9	1
10	1
11	16
12	24
13	16
14	1
15	1
16	15
17	30
18	30
19	15
20	1
21	1
22	12
23	30
24	40
25	30
26	12
27	1
28	1
29	14
30	63
31	315
32	315
33	63
34	14
35	1
36	1
37	16
38	84
39	224
40	700
41	224
42	84
43	16
44	1
45	1
46	18
47	108
48	336
49	630
50	630
51	336
52	108
53	18
54	1
55	1
56	20
57	135
58	480
59	1050
60	1512
61	1050
62	480
63	135
64	20
65	1
66	1
67	22
68	165
69	660
70	1650
71	2772
72	2772
73	1650
74	660
75	165
76	22
77	1

[1, 1, 1, 1, 12, 1, 1, 15, 15, 1, 1, 16, 24, 16, 1, 1, 15, 30, 30, 15, 1, 1, 12, 30, 40, 30, 12, 1, 1, 14, 63, 315, 315, 63, 14, 1, 1, 16, 84, 224, 700, 224, 84, 16, 1, 1, 18, 108, 336, 630, 630, 336, 108, 18, 1, 1, 20, 135, 480, 1050, 1512, 1050, 480, 135, 20, 1, 1, 22, 165, 660, 1650, 2772, 2772, 1650, 660, 165, 22, 1]

cp's OEIS Frontend

A168646 Triangle read by rows: T(n,k) = [x^k] p(x,n), where p(x,0) = 1, p(x,n) = (8 - n)(1+x)^n - (7 - n)(1 + x^n) for 1 <= n <= 6, and p(x,n) = 6(1+x)^n - Sum_{i=0..4} (Sum_{j=0..i} binomial(n, j)(x^j + x^(n-j))) for n >= 7.

Table of values

List of values

cp's OEIS Frontend

A168646 Triangle read by rows: T(n,k) = [x^k] p(x,n), where p(x,0) = 1, p(x,n) = (8 - n)*(1+x)^n - (7 - n)*(1 + x^n) for 1 <= n <= 6, and p(x,n) = 6*(1+x)^n - Sum_{i=0..4} (Sum_{j=0..i} binomial(n, j)*(x^j + x^(n-j))) for n >= 7.

Table of values

List of values

A168646 Triangle read by rows: T(n,k) = [x^k] p(x,n), where p(x,0) = 1, p(x,n) = (8 - n)(1+x)^n - (7 - n)(1 + x^n) for 1 <= n <= 6, and p(x,n) = 6(1+x)^n - Sum_{i=0..4} (Sum_{j=0..i} binomial(n, j)(x^j + x^(n-j))) for n >= 7.