A232606 - cp's OEIS frontend

A232606 G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)^n equals (2*n)!^2/n!^4, the square of the central binomial coefficients (A000984), for n>=0.

n	a(n)
0	1
1	3
2	10
3	42
4	221
5	1379
6	9678
7	73666
8	594326
9	5007958
10	43641702
11	390632678
12	3573598539
13	33289289533
14	314871186248
15	3017358158132
16	29242725947318
17	286209134234602
18	2825613061237808
19	28111283170770480
20	281598654896870051
21	2838309465080014489
22	28767973963085929656
23	293059625830028920012

[1, 3, 10, 42, 221, 1379, 9678, 73666, 594326, 5007958, 43641702, 390632678, 3573598539, 33289289533, 314871186248, 3017358158132, 29242725947318, 286209134234602, 2825613061237808, 28111283170770480, 281598654896870051, 2838309465080014489, 28767973963085929656, 293059625830028920012]

cp's OEIS Frontend

A232606 G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)^n equals (2*n)!^2/n!^4, the square of the central binomial coefficients (A000984), for n>=0.

Table of values

List of values