A183069 - cp's OEIS frontend

A183069 L.g.f.: Sum_{n>=1,k>=0} CATALAN(n,k)^2 * x^(n+k)/n = Sum_{n>=1} a(n)x^n/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)
1	1
2	3
3	19
4	163
5	1626
6	17769
7	206487
8	2508195
9	31504240
10	406214878
11	5349255726
12	71672186953
13	974311431094
14	13408623649893
15	186491860191519
16	2617716792257955
17	37040913147928380
18	527875569932002608
19	7570657419156212256
20	109194783587953243038

[1, 3, 19, 163, 1626, 17769, 206487, 2508195, 31504240, 406214878, 5349255726, 71672186953, 974311431094, 13408623649893, 186491860191519, 2617716792257955, 37040913147928380, 527875569932002608, 7570657419156212256, 109194783587953243038]

cp's OEIS Frontend

A183069 L.g.f.: Sum_{n>=1,k>=0} CATALAN(n,k)^2 * x^(n+k)/n = Sum_{n>=1} a(n)x^n/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

A183069 L.g.f.: Sum_{n>=1,k>=0} CATALAN(n,k)^2 * x^(n+k)/n = Sum_{n>=1} a(n)*x^n/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

A183069 L.g.f.: Sum_{n>=1,k>=0} CATALAN(n,k)^2 * x^(n+k)/n = Sum_{n>=1} a(n)x^n/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.