A122610 - cp's OEIS frontend

A122610 Triangle read by rows: T(n,k) is coefficient of x^k in Sum_{m=0..n} x^m(1-x)^(n-m)(-1)^[(m+1)/2]*binomial(m-[(m+1)/2],[m/2]).

n	a(n)
0	1
1	1
2	-2
3	1
4	-3
5	1
6	1
7	-4
8	3
9	1
10	1
11	-5
12	6
13	1
14	-2
15	1
16	-6
17	10
18	-1
19	-6
20	1
21	1
22	-7
23	15
24	-6
25	-11
26	6
27	1
28	1
29	-8
30	21
31	-15
32	-15
33	18
34	1
35	-2
36	1
37	-9
38	28
39	-29
40	-15
41	39
42	-6
43	-9
44	1
45	1
46	-10
47	36
48	-49
49	-7
50	69
51	-30
52	-21
53	9
54	1
55	1
56	-11
57	45
58	-76
59	14
60	105
61	-84
62	-30
63	36
64	1
65	-2
66	1
67	-12
68	55
69	-111
70	54
71	140
72	-182
73	-15
74	96
75	-14
76	-12
77	1
78	1
79	-13
80	66
81	-155

[1, 1, -2, 1, -3, 1, 1, -4, 3, 1, 1, -5, 6, 1, -2, 1, -6, 10, -1, -6, 1, 1, -7, 15, -6, -11, 6, 1, 1, -8, 21, -15, -15, 18, 1, -2, 1, -9, 28, -29, -15, 39, -6, -9, 1, 1, -10, 36, -49, -7, 69, -30, -21, 9, 1, 1, -11, 45, -76, 14, 105, -84, -30, 36, 1, -2, 1, -12, 55, -111, 54, 140, -182, -15, 96, -14, -12, 1, 1, -13, 66, -155]

cp's OEIS Frontend

A122610 Triangle read by rows: T(n,k) is coefficient of x^k in Sum_{m=0..n} x^m(1-x)^(n-m)(-1)^[(m+1)/2]*binomial(m-[(m+1)/2],[m/2]).

Table of values

List of values

cp's OEIS Frontend

A122610 Triangle read by rows: T(n,k) is coefficient of x^k in Sum_{m=0..n} x^m*(1-x)^(n-m)*(-1)^[(m+1)/2]*binomial(m-[(m+1)/2],[m/2]).

Table of values

List of values

A122610 Triangle read by rows: T(n,k) is coefficient of x^k in Sum_{m=0..n} x^m(1-x)^(n-m)(-1)^[(m+1)/2]*binomial(m-[(m+1)/2],[m/2]).