A258671 Number of partitions of (n!)^2 into parts that are at most n.

0, 1, 3, 127, 1361953, 14961046326601, 433366367372593816560481, 74029504174329565838647515081008812321, 147684970947386323832216294475743896349724799651361817601

Offset: 0

Author

Vaclav Kotesovec, Jun 07 2015

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..23
• A. V. Sills and D. Zeilberger, Formulae for the number of partitions of n into at most m parts (using the quasi-polynomial ansatz) (arXiv:1108.4391 [math.CO])

Crossrefs

Cf. A236810, A237998, A238000, A258668, A258669, A258670.

Formula

a(n) ~ n * (n!)^(2*n-4).