A123218 - cp's OEIS frontend

A123218 Irregular triangle formed by coefficients of polynomials defined by P(n,k,x) = f(n,k)(2x)^k(1 - x^2)^(n - k), where f(n, k) = (-1)^floor((k + 1)/2) binomial(n - floor((k + 1)/2), floor(k/2)).

n	a(n)
1	1
2	1
3	-2
4	-1
5	1
6	-2
7	-6
8	2
9	1
10	1
11	-2
12	-11
13	12
14	11
15	-2
16	-1
17	1
18	-2
19	-16
20	22
21	46
22	-22
23	-16
24	2
25	1
26	1
27	-2
28	-21
29	32
30	106
31	-92
32	-106
33	32
34	21
35	-2
36	-1
37	1
38	-2
39	-26
40	42
41	191
42	-212
43	-396
44	212
45	191
46	-42
47	-26
48	2
49	1
50	1
51	-2
52	-31
53	52
54	301
55	-382
56	-1011
57	792
58	1011
59	-382
60	-301
61	52
62	31
63	-2
64	-1

[1, 1, -2, -1, 1, -2, -6, 2, 1, 1, -2, -11, 12, 11, -2, -1, 1, -2, -16, 22, 46, -22, -16, 2, 1, 1, -2, -21, 32, 106, -92, -106, 32, 21, -2, -1, 1, -2, -26, 42, 191, -212, -396, 212, 191, -42, -26, 2, 1, 1, -2, -31, 52, 301, -382, -1011, 792, 1011, -382, -301, 52, 31, -2, -1]

cp's OEIS Frontend

A123218 Irregular triangle formed by coefficients of polynomials defined by P(n,k,x) = f(n,k)(2x)^k(1 - x^2)^(n - k), where f(n, k) = (-1)^floor((k + 1)/2) binomial(n - floor((k + 1)/2), floor(k/2)).

Table of values

List of values

cp's OEIS Frontend

A123218 Irregular triangle formed by coefficients of polynomials defined by P(n,k,x) = f(n,k)*(2*x)^k*(1 - x^2)^(n - k), where f(n, k) = (-1)^floor((k + 1)/2)* binomial(n - floor((k + 1)/2), floor(k/2)).

Table of values

List of values

A123218 Irregular triangle formed by coefficients of polynomials defined by P(n,k,x) = f(n,k)(2x)^k(1 - x^2)^(n - k), where f(n, k) = (-1)^floor((k + 1)/2) binomial(n - floor((k + 1)/2), floor(k/2)).