A264766 - cp's OEIS frontend

A264766 Irregular symmetric triangle of coefficients T(n,k) of the polynomials p(n,x) = Sum_{k=0..n} binomial(n+1,k)(1+x)^(2k)(-x)^(n-k) for 0 <= k <= 2n.

n	a(n)
0	1
1	2
2	3
3	2
4	3
5	9
6	13
7	9
8	3
9	4
10	18
11	40
12	51
13	40
14	18
15	4
16	5
17	30
18	90
19	165
20	201
21	165
22	90
23	30
24	5
25	6
26	45
27	170
28	405
29	666
30	783
31	666
32	405
33	170
34	45
35	6
36	7
37	63
38	287
39	840
40	1736
41	2646
42	3039
43	2646
44	1736
45	840
46	287
47	63
48	7
49	8
50	84
51	448
52	1554
53	3864
54	7224
55	10424
56	11763
57	10424
58	7224
59	3864
60	1554
61	448
62	84
63	8
64	9
65	108
66	660
67	2646
68	7686
69	17010
70	29520
71	40851
72	45481
73	40851
74	29520
75	17010
76	7686
77	2646
78	660
79	108
80	9
81	10

[1, 2, 3, 2, 3, 9, 13, 9, 3, 4, 18, 40, 51, 40, 18, 4, 5, 30, 90, 165, 201, 165, 90, 30, 5, 6, 45, 170, 405, 666, 783, 666, 405, 170, 45, 6, 7, 63, 287, 840, 1736, 2646, 3039, 2646, 1736, 840, 287, 63, 7, 8, 84, 448, 1554, 3864, 7224, 10424, 11763, 10424, 7224, 3864, 1554, 448, 84, 8, 9, 108, 660, 2646, 7686, 17010, 29520, 40851, 45481, 40851, 29520, 17010, 7686, 2646, 660, 108, 9, 10]

cp's OEIS Frontend

A264766 Irregular symmetric triangle of coefficients T(n,k) of the polynomials p(n,x) = Sum_{k=0..n} binomial(n+1,k)(1+x)^(2k)(-x)^(n-k) for 0 <= k <= 2n.

Table of values

List of values

cp's OEIS Frontend

A264766 Irregular symmetric triangle of coefficients T(n,k) of the polynomials p(n,x) = Sum_{k=0..n} binomial(n+1,k)*(1+x)^(2*k)*(-x)^(n-k) for 0 <= k <= 2*n.

Table of values

List of values

A264766 Irregular symmetric triangle of coefficients T(n,k) of the polynomials p(n,x) = Sum_{k=0..n} binomial(n+1,k)(1+x)^(2k)(-x)^(n-k) for 0 <= k <= 2n.