A119577 (n+n^2+n^3)*(binomial(2*n,n))/2.

0, 3, 42, 390, 2940, 19530, 119196, 684684, 3758040, 19909890, 102539580, 516023508, 2547314952, 12371513700, 59252218200, 280374917400, 1312759571760, 6089545431090, 28014942671100, 127932182324100

Offset: 0

Author

Zerinvary Lajos, May 31 2006

Keywords

• easy
• nonn

Crossrefs

Cf. A000984, A027444.

Programs

Maple

[seq ((n+n^2+n^3)*(binomial(2*n,n))/2,n=0..29)];

Mathematica

Table[(n+n^2+n^3) Binomial[2n,n]/2,{n,0,20}] (* Harvey P. Dale, May 26 2020 *)