A102456 a(n) = n!/A102356(n).

1, 1, 2, 2, 4, 8, 12, 24, 48, 96, 288, 576, 1152, 2304, 6912, 13824, 27648, 82944, 165888, 497664, 1327104, 2985984, 7962624, 19906560, 59719680, 143327232, 358318080, 955514880, 2866544640, 7644119040, 17199267840, 51597803520, 137594142720, 412782428160

Offset: 0

Author

Vladeta Jovovic, Feb 23 2005

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..500

Programs

Maple

b:= proc(n, i) option remember;
      `if`(n=0, 1, `if` (i<1, 0,
       max(seq(b(n-i*j, i-1) *n!/i!^j/(n-i*j)!/j!, j=0..n/i))))
    end:
a:= n-> n!/b(n, n):
seq(a(n), n=0..50);  # Alois P. Heinz, Jun 01 2012

Mathematica

b[0, ] = 1; b[, ?NonPositive] = 0; b[n, i_] := b[n, i] = Max[Table[b[n - i*j, i - 1]*n!/i!^j/(n - i*j)!/j!, {j, 0, n/i}]]; a[n_] := n!/b[n, n]; Table[a[n], {n, 0, 50}] (* Jean-François Alcover, Jan 24 2014, after Alois P. Heinz *)