A155957 a(n) = (2*n^2)^n.

1, 2, 64, 5832, 1048576, 312500000, 139314069504, 86812553324672, 72057594037927936, 76848453272063549952, 102400000000000000000000, 166712830744247830760081408, 325619086145088897570576531456

Offset: 0

Author

Reinhard Zumkeller, Jan 31 2009

Keywords

• nonn

Comments

Central terms of the triangle in A155955;

Links

• G. C. Greubel, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A000079, A062206, A155955.

Programs

Magma

[(2*n^2)^n: n in [0..30]]; // G. C. Greubel, Sep 14 2018

Mathematica

Table[If[n==0,1,(2*n^2)^n], {n, 0, 30}] (* G. C. Greubel, Sep 14 2018 *)

PARI

vector(30, n, n--; (2*n^2)^n) \\ G. C. Greubel, Sep 14 2018

Formula

a(n) = A062206(n)*A000079(n).

a(n) = n! * [x^n] 1/(1 + LambertW(-2*n*x)). - Ilya Gutkovskiy, Oct 03 2017