A106268 - cp's OEIS frontend

A106268 Number triangle T(n,k) = (-1)^(n-k)binomial(k-n, n-k) = (0^(n-k) + binomial(2(n-k), n-k))/2 if k <= n, 0 otherwise; Riordan array (1/(2-C(x)), x) where C(x) is g.f. for Catalan numbers A000108.

n	a(n)
0	1
1	1
2	1
3	3
4	1
5	1
6	10
7	3
8	1
9	1
10	35
11	10
12	3
13	1
14	1
15	126
16	35
17	10
18	3
19	1
20	1
21	462
22	126
23	35
24	10
25	3
26	1
27	1
28	1716
29	462
30	126
31	35
32	10
33	3
34	1
35	1
36	6435
37	1716
38	462
39	126
40	35
41	10
42	3
43	1
44	1
45	24310
46	6435
47	1716
48	462
49	126
50	35
51	10
52	3
53	1
54	1
55	92378
56	24310
57	6435
58	1716
59	462
60	126
61	35
62	10
63	3
64	1
65	1

[1, 1, 1, 3, 1, 1, 10, 3, 1, 1, 35, 10, 3, 1, 1, 126, 35, 10, 3, 1, 1, 462, 126, 35, 10, 3, 1, 1, 1716, 462, 126, 35, 10, 3, 1, 1, 6435, 1716, 462, 126, 35, 10, 3, 1, 1, 24310, 6435, 1716, 462, 126, 35, 10, 3, 1, 1, 92378, 24310, 6435, 1716, 462, 126, 35, 10, 3, 1, 1]

cp's OEIS Frontend

A106268 Number triangle T(n,k) = (-1)^(n-k)binomial(k-n, n-k) = (0^(n-k) + binomial(2(n-k), n-k))/2 if k <= n, 0 otherwise; Riordan array (1/(2-C(x)), x) where C(x) is g.f. for Catalan numbers A000108.

Table of values

List of values

cp's OEIS Frontend

A106268 Number triangle T(n,k) = (-1)^(n-k)*binomial(k-n, n-k) = (0^(n-k) + binomial(2*(n-k), n-k))/2 if k <= n, 0 otherwise; Riordan array (1/(2-C(x)), x) where C(x) is g.f. for Catalan numbers A000108.

Table of values

List of values

A106268 Number triangle T(n,k) = (-1)^(n-k)binomial(k-n, n-k) = (0^(n-k) + binomial(2(n-k), n-k))/2 if k <= n, 0 otherwise; Riordan array (1/(2-C(x)), x) where C(x) is g.f. for Catalan numbers A000108.