A088327 - cp's OEIS frontend

A088327 G.f.: exp(Sum_{k>=1} B(x^k)/k), where B(x) = x + 2x^2 + 5x^3 + 14x^4 + 42x^5 + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108.

n	a(n)
0	1
1	1
2	3
3	8
4	25
5	77
6	256
7	854
8	2940
9	10229
10	36124
11	128745
12	463137
13	1677816
14	6118165
15	22432778
16	82660369
17	305916561
18	1136621136
19	4238006039
20	15852603939
21	59471304434
22	223704813807
23	843547443903
24	3188064830876
25	12074092672950
26	45816941923597
27	174173975322767

[1, 1, 3, 8, 25, 77, 256, 854, 2940, 10229, 36124, 128745, 463137, 1677816, 6118165, 22432778, 82660369, 305916561, 1136621136, 4238006039, 15852603939, 59471304434, 223704813807, 843547443903, 3188064830876, 12074092672950, 45816941923597, 174173975322767]

cp's OEIS Frontend

A088327 G.f.: exp(Sum_{k>=1} B(x^k)/k), where B(x) = x + 2x^2 + 5x^3 + 14x^4 + 42x^5 + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108.

Table of values

List of values

cp's OEIS Frontend

A088327 G.f.: exp(Sum_{k>=1} B(x^k)/k), where B(x) = x + 2*x^2 + 5*x^3 + 14*x^4 + 42*x^5 + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108.

Table of values

List of values

A088327 G.f.: exp(Sum_{k>=1} B(x^k)/k), where B(x) = x + 2x^2 + 5x^3 + 14x^4 + 42x^5 + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108.