A187083 a(n) = binomial(n^n, n).

1, 6, 2925, 174792640, 2475588476563125, 14320984850603177651837856, 50975600425441237253196072020826978589, 155681826868802708662507744652859497547627180714885120, 541851389452483826218851027234763464912884507272826833630475746754951097

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Mar 03 2011

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..27
• Harlan J. Brothers, Pascal's triangle, Sidi polynomials, and powers of e, Missouri J. Math. Sci. (2025) Vol. 37, No. 1, 67-78.

Crossrefs

Cf. A014062, A014070, A086687.

Programs

Magma

[Binomial(n^n, n): n in [1..15]]; // Vincenzo Librandi, Apr 22 2011

Mathematica

Table[Binomial[n^n,n],{n,12}]

Formula

a(n) ~ n^(n^2) / n!. - Vaclav Kotesovec, Jul 02 2016