A355342 - cp's OEIS frontend

A355342 G.f.: A(x) = Sum_{n=-oo..+oo} (-1)^n * x^(n(n+1)/2) C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).

n	a(n)
0	0
1	1
2	-2
3	-1
4	3
5	0
6	1
7	-4
8	2
9	0
10	-1
11	5
12	-5
13	0
14	0
15	1
16	-6
17	9
18	-2
19	0
20	0
21	-1
22	7
23	-14
24	7
25	0
26	0
27	0
28	1
29	-8
30	20
31	-16
32	2
33	0
34	0
35	0
36	-1
37	9
38	-27
39	30
40	-9
41	0
42	0
43	0
44	0
45	1
46	-10
47	35
48	-50
49	25
50	-2
51	0
52	0
53	0
54	0
55	-1
56	11
57	-44
58	77
59	-55
60	11
61	0
62	0
63	0
64	0
65	0
66	1
67	-12
68	54
69	-112
70	105
71	-36
72	2
73	0
74	0
75	0
76	0
77	0
78	-1
79	13
80	-65
81	156
82	-182
83	91
84	-13
85	0
86	0
87	0
88	0
89	0
90	0
91	1
92	-14
93	77
94	-210
95	294
96	-196
97	49
98	-2
99	0
100	0
101	0
102	0
103	0
104	0
105	-1
106	15
107	-90
108	275
109	-450
110	378
111	-140
112	15
113	0
114	0
115	0
116	0
117	0
118	0
119	0

[0, 1, -2, -1, 3, 0, 1, -4, 2, 0, -1, 5, -5, 0, 0, 1, -6, 9, -2, 0, 0, -1, 7, -14, 7, 0, 0, 0, 1, -8, 20, -16, 2, 0, 0, 0, -1, 9, -27, 30, -9, 0, 0, 0, 0, 1, -10, 35, -50, 25, -2, 0, 0, 0, 0, -1, 11, -44, 77, -55, 11, 0, 0, 0, 0, 0, 1, -12, 54, -112, 105, -36, 2, 0, 0, 0, 0, 0, -1, 13, -65, 156, -182, 91, -13, 0, 0, 0, 0, 0, 0, 1, -14, 77, -210, 294, -196, 49, -2, 0, 0, 0, 0, 0, 0, -1, 15, -90, 275, -450, 378, -140, 15, 0, 0, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A355342 G.f.: A(x) = Sum_{n=-oo..+oo} (-1)^n * x^(n(n+1)/2) C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).

Table of values

List of values

cp's OEIS Frontend

A355342 G.f.: A(x) = Sum_{n=-oo..+oo} (-1)^n * x^(n*(n+1)/2) * C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).

Table of values

List of values

A355342 G.f.: A(x) = Sum_{n=-oo..+oo} (-1)^n * x^(n(n+1)/2) C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).