A367271 a(n) = binomial(2*n, n) * n^n.

1, 2, 24, 540, 17920, 787500, 43110144, 2826399576, 215922769920, 18836384175180, 1847560000000000, 201267982422458952, 24110526523754151936, 3150082833623386551800, 445775933018180704665600, 67925014299030761718750000, 11087976122055526032070410240

Offset

0,2

Links

Michael De Vlieger, Table of n, a(n) for n = 0..322

Formula

a(n) = A059297(2*n, n).

a(n) ~ 2^(2*n)*n^n/sqrt(n*Pi). - Stefano Spezia, Nov 29 2023

Maple

seq(binomial(2*n, n) * n^n, n = 0..16);

Mathematica

A367271[n_]:=If[n==0, 1, Binomial[2n, n]n^n];
Array[A367271, 20, 0] (* Paolo Xausa, Nov 29 2023 *)

Crossrefs

Cf. A059297, A293270.

Sequence in context: A187658 A138450 A262009 * A054946 A046744 A000186

Adjacent sequences: A367268 A367269 A367270 * A367272 A367273 A367274

Keyword

nonn

Author

Peter Luschny, Nov 11 2023

Status

approved