A278880 - cp's OEIS frontend

A278880 Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)G(-mS^2)) such that G(x) = 1 + xG(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2n-1)*m^k in S(x,m) for n>=1, k=0..n-1.

n	a(n)
1	1
2	1
3	1
4	1
5	5
6	1
7	1
8	14
9	14
10	1
11	1
12	30
13	81
14	30
15	1
16	1
17	55
18	308
19	308
20	55
21	1
22	1
23	91
24	910
25	1872
26	910
27	91
28	1
29	1
30	140
31	2268
32	8250
33	8250
34	2268
35	140
36	1
37	1
38	204
39	4998
40	29172
41	51425
42	29172
43	4998
44	204
45	1
46	1
47	285
48	10032
49	87780
50	247247
51	247247
52	87780
53	10032
54	285
55	1
56	1
57	385
58	18711
59	233376
60	980980
61	1565109
62	980980
63	233376
64	18711
65	385
66	1
67	1
68	506
69	32890
70	562419
71	3354780
72	7970144
73	7970144
74	3354780
75	562419
76	32890
77	506
78	1

[1, 1, 1, 1, 5, 1, 1, 14, 14, 1, 1, 30, 81, 30, 1, 1, 55, 308, 308, 55, 1, 1, 91, 910, 1872, 910, 91, 1, 1, 140, 2268, 8250, 8250, 2268, 140, 1, 1, 204, 4998, 29172, 51425, 29172, 4998, 204, 1, 1, 285, 10032, 87780, 247247, 247247, 87780, 10032, 285, 1, 1, 385, 18711, 233376, 980980, 1565109, 980980, 233376, 18711, 385, 1, 1, 506, 32890, 562419, 3354780, 7970144, 7970144, 3354780, 562419, 32890, 506, 1]

cp's OEIS Frontend

A278880 Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)G(-mS^2)) such that G(x) = 1 + xG(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2n-1)*m^k in S(x,m) for n>=1, k=0..n-1.

Table of values

List of values

cp's OEIS Frontend

A278880 Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)*G(-m*S^2)) such that G(x) = 1 + x*G(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2*n-1)*m^k in S(x,m) for n>=1, k=0..n-1.

Table of values

List of values

A278880 Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)G(-mS^2)) such that G(x) = 1 + xG(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2n-1)*m^k in S(x,m) for n>=1, k=0..n-1.