A278881 - cp's OEIS frontend

A278881 Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(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>=0, k=0..n.

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

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

cp's OEIS Frontend

A278881 Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(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>=0, k=0..n.

Table of values

List of values

cp's OEIS Frontend

A278881 Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(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>=0, k=0..n.

Table of values

List of values

A278881 Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(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>=0, k=0..n.