A183070 - cp's OEIS frontend

A183070 G.f.: A(x) = exp( Sum_{n>=1,k>=0} CATALAN(n,k)^2x^(n+k)/n ), where CATALAN(n,k) = nC(n+2*k-1,k)/(n+k) is the coefficient of x^k in C(x)^n and C(x) is the g.f. of the Catalan numbers.

n	a(n)
0	1
1	1
2	2
3	8
4	49
5	380
6	3400
7	33469
8	352763
9	3914105
10	45203847
11	539095203
12	6600723606
13	82616454685
14	1053503618516
15	13650703465841
16	179351890161617
17	2385294488375623
18	32066177447127597
19	435218601202213040

[1, 1, 2, 8, 49, 380, 3400, 33469, 352763, 3914105, 45203847, 539095203, 6600723606, 82616454685, 1053503618516, 13650703465841, 179351890161617, 2385294488375623, 32066177447127597, 435218601202213040]

cp's OEIS Frontend

A183070 G.f.: A(x) = exp( Sum_{n>=1,k>=0} CATALAN(n,k)^2x^(n+k)/n ), where CATALAN(n,k) = nC(n+2*k-1,k)/(n+k) is the coefficient of x^k in C(x)^n and C(x) is the g.f. of the Catalan numbers.

Table of values

List of values

cp's OEIS Frontend

A183070 G.f.: A(x) = exp( Sum_{n>=1,k>=0} CATALAN(n,k)^2*x^(n+k)/n ), where CATALAN(n,k) = n*C(n+2*k-1,k)/(n+k) is the coefficient of x^k in C(x)^n and C(x) is the g.f. of the Catalan numbers.

Table of values

List of values

A183070 G.f.: A(x) = exp( Sum_{n>=1,k>=0} CATALAN(n,k)^2x^(n+k)/n ), where CATALAN(n,k) = nC(n+2*k-1,k)/(n+k) is the coefficient of x^k in C(x)^n and C(x) is the g.f. of the Catalan numbers.