A355343 - cp's OEIS frontend

A355343 G.f.: A(x,y) = Sum_{n=-oo..+oo} (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	2
1	-1
2	2
3	-1
4	-1
5	0
6	-2
7	1
8	0
9	2
10	-5
11	3
12	0
13	-1
14	0
15	-14
16	9
17	0
18	5
19	0
20	0
21	-42
22	28
23	0
24	13
25	0
26	0
27	2
28	-132
29	90
30	0
31	39
32	0
33	0
34	-1
35	0
36	-429
37	297
38	0
39	123
40	0
41	0
42	11
43	0
44	0
45	-1430
46	1001
47	0
48	401
49	0
50	0
51	28
52	0
53	0
54	0
55	-4862
56	3432
57	0
58	1340
59	0
60	0
61	89
62	0
63	0
64	0
65	2
66	-16796
67	11934
68	0
69	4565
70	0
71	0
72	293
73	0
74	0
75	0
76	-1
77	0
78	-58786
79	41990
80	0
81	15795
82	0
83	0
84	987
85	0
86	0
87	0
88	19
89	0
90	0
91	-208012

[2, -1, 2, -1, -1, 0, -2, 1, 0, 2, -5, 3, 0, -1, 0, -14, 9, 0, 5, 0, 0, -42, 28, 0, 13, 0, 0, 2, -132, 90, 0, 39, 0, 0, -1, 0, -429, 297, 0, 123, 0, 0, 11, 0, 0, -1430, 1001, 0, 401, 0, 0, 28, 0, 0, 0, -4862, 3432, 0, 1340, 0, 0, 89, 0, 0, 0, 2, -16796, 11934, 0, 4565, 0, 0, 293, 0, 0, 0, -1, 0, -58786, 41990, 0, 15795, 0, 0, 987, 0, 0, 0, 19, 0, 0, -208012]

cp's OEIS Frontend

A355343 G.f.: A(x,y) = Sum_{n=-oo..+oo} (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

A355343 G.f.: A(x,y) = Sum_{n=-oo..+oo} (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

A355343 G.f.: A(x,y) = Sum_{n=-oo..+oo} (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.