A370140 - cp's OEIS frontend

A370140 Expansion of g.f. A(x,y) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + yA(x,y)) = 1 + (y+1) Sum_{n>=1} x^(n(n+1)/2), as a triangle of coefficients T(n,k) of x^ny^k in A(x,y) read by rows.

n	a(n)
1	1
2	-1
3	-1
4	1
5	2
6	1
7	-1
8	-3
9	-3
10	-1
11	0
12	3
13	6
14	4
15	1
16	1
17	0
18	-7
19	-10
20	-5
21	-1
22	-1
23	-6
24	-1
25	14
26	15
27	6
28	1
29	0
30	12
31	25
32	3
33	-25
34	-21
35	-7
36	-1
37	0
38	-14
39	-64
40	-75
41	-5
42	41
43	28
44	8
45	1
46	1
47	11
48	102
49	231
50	179
51	5
52	-63
53	-36
54	-9
55	-1
56	-1
57	-4
58	-109
59	-448
60	-651
61	-365
62	0
63	92
64	45
65	10
66	1
67	0
68	-5
69	53
70	593
71	1486
72	1546
73	665
74	-14
75	-129
76	-55
77	-11
78	-1
79	0
80	12
81	75
82	-407
83	-2342
84	-4077
85	-3241
86	-1114
87	42
88	175
89	66
90	12
91	1

[1, -1, -1, 1, 2, 1, -1, -3, -3, -1, 0, 3, 6, 4, 1, 1, 0, -7, -10, -5, -1, -1, -6, -1, 14, 15, 6, 1, 0, 12, 25, 3, -25, -21, -7, -1, 0, -14, -64, -75, -5, 41, 28, 8, 1, 1, 11, 102, 231, 179, 5, -63, -36, -9, -1, -1, -4, -109, -448, -651, -365, 0, 92, 45, 10, 1, 0, -5, 53, 593, 1486, 1546, 665, -14, -129, -55, -11, -1, 0, 12, 75, -407, -2342, -4077, -3241, -1114, 42, 175, 66, 12, 1]

cp's OEIS Frontend

A370140 Expansion of g.f. A(x,y) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + yA(x,y)) = 1 + (y+1) Sum_{n>=1} x^(n(n+1)/2), as a triangle of coefficients T(n,k) of x^ny^k in A(x,y) read by rows.

Table of values

List of values

cp's OEIS Frontend

A370140 Expansion of g.f. A(x,y) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + y*A(x,y)) = 1 + (y+1) * Sum_{n>=1} x^(n*(n+1)/2), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y) read by rows.

Table of values

List of values

A370140 Expansion of g.f. A(x,y) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + yA(x,y)) = 1 + (y+1) Sum_{n>=1} x^(n(n+1)/2), as a triangle of coefficients T(n,k) of x^ny^k in A(x,y) read by rows.