A355344 - cp's OEIS frontend

A355344 G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (xy)^(n(n+1)/2) * C(x)^n, where C(x) = 1 + xC(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^ny^k in A(x,y), read by rows n >= 0.

n	a(n)
0	0
1	1
2	0
3	1
4	-3
5	0
6	2
7	-3
8	0
9	0
10	5
11	-7
12	0
13	5
14	0
15	14
16	-19
17	0
18	5
19	0
20	0
21	42
22	-56
23	0
24	15
25	0
26	0
27	0
28	132
29	-174
30	0
31	45
32	0
33	0
34	-7
35	0
36	429
37	-561
38	0
39	141
40	0
41	0
42	-7
43	0
44	0
45	1430
46	-1859
47	0
48	457
49	0
50	0
51	-28
52	0
53	0
54	0
55	4862
56	-6292
57	0
58	1520
59	0
60	0
61	-91
62	0
63	0
64	0
65	0
66	16796
67	-21658
68	0
69	5159
70	0
71	0
72	-301
73	0
74	0
75	0
76	9
77	0
78	58786
79	-75582
80	0
81	17797
82	0
83	0
84	-1015
85	0
86	0
87	0
88	9
89	0
90	0
91	208012

[0, 1, 0, 1, -3, 0, 2, -3, 0, 0, 5, -7, 0, 5, 0, 14, -19, 0, 5, 0, 0, 42, -56, 0, 15, 0, 0, 0, 132, -174, 0, 45, 0, 0, -7, 0, 429, -561, 0, 141, 0, 0, -7, 0, 0, 1430, -1859, 0, 457, 0, 0, -28, 0, 0, 0, 4862, -6292, 0, 1520, 0, 0, -91, 0, 0, 0, 0, 16796, -21658, 0, 5159, 0, 0, -301, 0, 0, 0, 9, 0, 58786, -75582, 0, 17797, 0, 0, -1015, 0, 0, 0, 9, 0, 0, 208012]

cp's OEIS Frontend

A355344 G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (xy)^(n(n+1)/2) * C(x)^n, where C(x) = 1 + xC(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^ny^k in A(x,y), read by rows n >= 0.

Table of values

List of values

cp's OEIS Frontend

A355344 G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (x*y)^(n*(n+1)/2) * C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.

Table of values

List of values

A355344 G.f.: A(x,y) = Sum_{n=-oo..+oo} (-1)^n * (xy)^(n(n+1)/2) * C(x)^n, where C(x) = 1 + xC(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^ny^k in A(x,y), read by rows n >= 0.