A331432 - cp's OEIS frontend

A331432 Triangle T(n,k) (n >= k >= 0) read by rows: T(n,0) = (1+(-1)^n)/2; for k>=1, set T(0,k) = 0, S(n,k) = binomial(n,k)*binomial(n+k+1,k), and for n>=1, T(n,k) = S(n,k)-T(n-1,k).

n	a(n)
0	1
1	0
2	3
3	1
4	5
5	10
6	0
7	10
8	35
9	35
10	1
11	14
12	91
13	189
14	126
15	0
16	21
17	189
18	651
19	924
20	462
21	1
22	27
23	351
24	1749
25	4026
26	4290
27	1716
28	0
29	36
30	594
31	4026
32	13299
33	22737
34	19305
35	6435
36	1
37	44
38	946
39	8294
40	36751
41	89375
42	120835
43	85085
44	24310
45	0
46	55
47	1430
48	15730
49	89375
50	289003
51	551837
52	615043
53	369512
54	92378
55	1
56	65
57	2080
58	27950
59	197275
60	811733
61	2047123
62	3203837
63	3031678
64	1587222
65	352716

[1, 0, 3, 1, 5, 10, 0, 10, 35, 35, 1, 14, 91, 189, 126, 0, 21, 189, 651, 924, 462, 1, 27, 351, 1749, 4026, 4290, 1716, 0, 36, 594, 4026, 13299, 22737, 19305, 6435, 1, 44, 946, 8294, 36751, 89375, 120835, 85085, 24310, 0, 55, 1430, 15730, 89375, 289003, 551837, 615043, 369512, 92378, 1, 65, 2080, 27950, 197275, 811733, 2047123, 3203837, 3031678, 1587222, 352716]

cp's OEIS Frontend

A331432 Triangle T(n,k) (n >= k >= 0) read by rows: T(n,0) = (1+(-1)^n)/2; for k>=1, set T(0,k) = 0, S(n,k) = binomial(n,k)*binomial(n+k+1,k), and for n>=1, T(n,k) = S(n,k)-T(n-1,k).

Table of values

List of values