A370540 - cp's OEIS frontend

A370540 Expansion of g.f. A(x) satisfying A(x)^2 = A(x^2) * (1 - xC(x)) (1 - xC(x^2)) / (1 - 4x) where C(x) = 1 + x*C(x)^2 is the Catalan function (A000108).

n	a(n)
0	1
1	1
2	4
3	12
4	45
5	157
6	584
7	2155
8	8110
9	30587
10	116326
11	443984
12	1702272
13	6546563
14	25252094
15	97638658
16	378351696
17	1468876958
18	5712276601
19	22247635905
20	86765271643
21	338795469496
22	1324374411164
23	5182303804184
24	20297243177269
25	79564763550396
26	312137086267106
27	1225421059470049

[1, 1, 4, 12, 45, 157, 584, 2155, 8110, 30587, 116326, 443984, 1702272, 6546563, 25252094, 97638658, 378351696, 1468876958, 5712276601, 22247635905, 86765271643, 338795469496, 1324374411164, 5182303804184, 20297243177269, 79564763550396, 312137086267106, 1225421059470049]

cp's OEIS Frontend

A370540 Expansion of g.f. A(x) satisfying A(x)^2 = A(x^2) * (1 - xC(x)) (1 - xC(x^2)) / (1 - 4x) where C(x) = 1 + x*C(x)^2 is the Catalan function (A000108).

Table of values

List of values

cp's OEIS Frontend

A370540 Expansion of g.f. A(x) satisfying A(x)^2 = A(x^2) * (1 - x*C(x)) * (1 - x*C(x^2)) / (1 - 4*x) where C(x) = 1 + x*C(x)^2 is the Catalan function (A000108).

Table of values

List of values

A370540 Expansion of g.f. A(x) satisfying A(x)^2 = A(x^2) * (1 - xC(x)) (1 - xC(x^2)) / (1 - 4x) where C(x) = 1 + x*C(x)^2 is the Catalan function (A000108).