A225682 - cp's OEIS frontend

A225682 Triangle read by rows: T(n,k) (0 <= k <= n) = chi(k)*binomial(n,k), where chi(k) = 1,-1,0 according as k == 0,1,2 mod 3.

n	a(n)
0	1
1	1
2	-1
3	1
4	-2
5	0
6	1
7	-3
8	0
9	1
10	1
11	-4
12	0
13	4
14	-1
15	1
16	-5
17	0
18	10
19	-5
20	0
21	1
22	-6
23	0
24	20
25	-15
26	0
27	1
28	1
29	-7
30	0
31	35
32	-35
33	0
34	7
35	-1
36	1
37	-8
38	0
39	56
40	-70
41	0
42	28
43	-8
44	0
45	1
46	-9
47	0
48	84
49	-126
50	0
51	84
52	-36
53	0
54	1
55	1
56	-10
57	0
58	120
59	-210
60	0
61	210
62	-120
63	0
64	10
65	-1
66	1
67	-11
68	0
69	165
70	-330
71	0
72	462
73	-330
74	0
75	55
76	-11
77	0
78	1
79	-12
80	0
81	220
82	-495
83	0
84	924
85	-792
86	0
87	220
88	-66
89	0
90	1

[1, 1, -1, 1, -2, 0, 1, -3, 0, 1, 1, -4, 0, 4, -1, 1, -5, 0, 10, -5, 0, 1, -6, 0, 20, -15, 0, 1, 1, -7, 0, 35, -35, 0, 7, -1, 1, -8, 0, 56, -70, 0, 28, -8, 0, 1, -9, 0, 84, -126, 0, 84, -36, 0, 1, 1, -10, 0, 120, -210, 0, 210, -120, 0, 10, -1, 1, -11, 0, 165, -330, 0, 462, -330, 0, 55, -11, 0, 1, -12, 0, 220, -495, 0, 924, -792, 0, 220, -66, 0, 1]

cp's OEIS Frontend

A225682 Triangle read by rows: T(n,k) (0 <= k <= n) = chi(k)*binomial(n,k), where chi(k) = 1,-1,0 according as k == 0,1,2 mod 3.

Table of values

List of values