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A367254
a(n) = binomial(2*n - 1, n - 1)*(2*n)^n.
1
1, 2, 48, 2160, 143360, 12600000, 1379524608, 180889572864, 27638114549760, 4822114348846080, 945950720000000000, 206098414000597966848, 49378358320648503164928, 12902739286521391316172800, 3651796443284936332620595200, 1112883434275320000000000000000
OFFSET
0,2
FORMULA
a(n) = abs(A137452(2*n, n)).
MAPLE
a := n -> binomial(2*n - 1, n - 1)*(2*n)^n;
seq(a(n), n = 0..15);
MATHEMATICA
A367254[n_]:=If[n==0, 1, Binomial[2n-1, n-1](2n)^n];
Array[A367254, 20, 0] (* Paolo Xausa, Dec 01 2023 *)
CROSSREFS
Cf. A137452.
Sequence in context: A119695 A119698 A112103 * A177317 A114714 A186416
KEYWORD
nonn
AUTHOR
Peter Luschny, Nov 11 2023
STATUS
approved