A025041 Number of partitions of { 1, 2, ..., 9n } into sets of size 9.

1, 1, 24310, 37978905250, 893864677761055000, 158421985022100255941485000, 140413003088367308737750586624350000, 474750200441159213998774295008486246570750000

Offset

0,3

Links

Andrew Howroyd, Table of n, a(n) for n = 0..50

Cyril Banderier, Philippe Marchal, and Michael Wallner, Rectangular Young tableaux with local decreases and the density method for uniform random generation (short version), arXiv:1805.09017 [cs.DM], 2018.

Formula

a(n) = (9*n)!/(n!*(9!)^n). - Christian G. Bower, Sep 15 1998

Mathematica

Table[Pochhammer[n + 1, 8*n]/9!^n, {n, 0, 10}] (* Paolo Xausa, Aug 08 2024 *)

Crossrefs

Column k=9 of A060540.

Sequence in context: A140923 A208622 A294856 * A156843 A156844 A174754

Adjacent sequences: A025038 A025039 A025040 * A025042 A025043 A025044

Keyword

nonn,easy

Author

David W. Wilson

Extensions

a(0)=1 from Andrew Howroyd, Feb 26 2018

Status

approved