login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A119577
(n+n^2+n^3)*(binomial(2*n,n))/2.
0
0, 3, 42, 390, 2940, 19530, 119196, 684684, 3758040, 19909890, 102539580, 516023508, 2547314952, 12371513700, 59252218200, 280374917400, 1312759571760, 6089545431090, 28014942671100, 127932182324100
OFFSET
0,2
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 *)
CROSSREFS
Sequence in context: A157537 A322893 A114943 * A051273 A350901 A160873
KEYWORD
easy,nonn
AUTHOR
Zerinvary Lajos, May 31 2006
STATUS
approved