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

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

Offset

1,2

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.

Formula

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

Mathematica

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

Prog

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

Crossrefs

Cf. A014062, A014070, A086687.

Sequence in context: A300851 A089501 A290149 * A114184 A093884 A265869

Adjacent sequences: A187080 A187081 A187082 * A187084 A187085 A187086

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Mar 03 2011

Status

approved