A278882 - cp's OEIS frontend

A278882 Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = xCD, C = 1 + xSD, and D = 1 + mxS*C, as read by rows of coefficients T(n,k) of x^(2n)m^k in C(x,m) for n>=1, k=0..n.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	8
9	1
10	0
11	4
12	30
13	20
14	1
15	0
16	5
17	80
18	147
19	40
20	1
21	0
22	6
23	175
24	672
25	504
26	70
27	1
28	0
29	7
30	336
31	2310
32	3600
33	1386
34	112
35	1
36	0
37	8
38	588
39	6552
40	18150
41	14520
42	3276
43	168
44	1
45	0
46	9
47	960
48	16170
49	72072
50	102245
51	48048
52	6930
53	240
54	1
55	0
56	10
57	1485
58	35904
59	240240
60	546546
61	455455
62	137280
63	13464
64	330
65	1
66	0
67	11
68	2200
69	73359
70	700128
71	2382380
72	3179904
73	1701700
74	350064
75	24453
76	440
77	1
78	0
79	12
80	3146
81	140140
82	1833975
83	8868288
84	17672928
85	15148224
86	5542680
87	815100
88	42042
89	572
90	1

[1, 0, 1, 0, 2, 1, 0, 3, 8, 1, 0, 4, 30, 20, 1, 0, 5, 80, 147, 40, 1, 0, 6, 175, 672, 504, 70, 1, 0, 7, 336, 2310, 3600, 1386, 112, 1, 0, 8, 588, 6552, 18150, 14520, 3276, 168, 1, 0, 9, 960, 16170, 72072, 102245, 48048, 6930, 240, 1, 0, 10, 1485, 35904, 240240, 546546, 455455, 137280, 13464, 330, 1, 0, 11, 2200, 73359, 700128, 2382380, 3179904, 1701700, 350064, 24453, 440, 1, 0, 12, 3146, 140140, 1833975, 8868288, 17672928, 15148224, 5542680, 815100, 42042, 572, 1]

cp's OEIS Frontend

A278882 Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = xCD, C = 1 + xSD, and D = 1 + mxS*C, as read by rows of coefficients T(n,k) of x^(2n)m^k in C(x,m) for n>=1, k=0..n.

Table of values

List of values

cp's OEIS Frontend

A278882 Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=1, k=0..n.

Table of values

List of values

A278882 Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = xCD, C = 1 + xSD, and D = 1 + mxS*C, as read by rows of coefficients T(n,k) of x^(2n)m^k in C(x,m) for n>=1, k=0..n.