A168643 - cp's OEIS frontend

A168643 Triangle read by rows: T(n,k) = [x^k] p(x,n) where p(x,0) = 1, p(x,n) = (6 - n)(1+x)^n - (5-n)(1 + x^n) for 1 <= n <= 4, and p (x,n) = 4(1+x)^n - Sum_{i=0..2} (Sum_{j=0..i} binomial(n, j)(x^j + x^(n-j))) for n >= 5.

n	a(n)
0	1
1	1
2	1
3	1
4	8
5	1
6	1
7	9
8	9
9	1
10	1
11	8
12	12
13	8
14	1
15	1
16	10
17	30
18	30
19	10
20	1
21	1
22	12
23	45
24	80
25	45
26	12
27	1
28	1
29	14
30	63
31	140
32	140
33	63
34	14
35	1
36	1
37	16
38	84
39	224
40	280
41	224
42	84
43	16
44	1
45	1
46	18
47	108
48	336
49	504
50	504
51	336
52	108
53	18
54	1
55	1
56	20
57	135
58	480
59	840
60	1008
61	840
62	480
63	135
64	20
65	1

[1, 1, 1, 1, 8, 1, 1, 9, 9, 1, 1, 8, 12, 8, 1, 1, 10, 30, 30, 10, 1, 1, 12, 45, 80, 45, 12, 1, 1, 14, 63, 140, 140, 63, 14, 1, 1, 16, 84, 224, 280, 224, 84, 16, 1, 1, 18, 108, 336, 504, 504, 336, 108, 18, 1, 1, 20, 135, 480, 840, 1008, 840, 480, 135, 20, 1]

cp's OEIS Frontend

A168643 Triangle read by rows: T(n,k) = [x^k] p(x,n) where p(x,0) = 1, p(x,n) = (6 - n)(1+x)^n - (5-n)(1 + x^n) for 1 <= n <= 4, and p (x,n) = 4(1+x)^n - Sum_{i=0..2} (Sum_{j=0..i} binomial(n, j)(x^j + x^(n-j))) for n >= 5.

Table of values

List of values

cp's OEIS Frontend

A168643 Triangle read by rows: T(n,k) = [x^k] p(x,n) where p(x,0) = 1, p(x,n) = (6 - n)*(1+x)^n - (5-n)*(1 + x^n) for 1 <= n <= 4, and p (x,n) = 4*(1+x)^n - Sum_{i=0..2} (Sum_{j=0..i} binomial(n, j)*(x^j + x^(n-j))) for n >= 5.

Table of values

List of values

A168643 Triangle read by rows: T(n,k) = [x^k] p(x,n) where p(x,0) = 1, p(x,n) = (6 - n)(1+x)^n - (5-n)(1 + x^n) for 1 <= n <= 4, and p (x,n) = 4(1+x)^n - Sum_{i=0..2} (Sum_{j=0..i} binomial(n, j)(x^j + x^(n-j))) for n >= 5.