A333064 Number of entries in the seventh blocks of all set partitions of [n] when blocks are ordered by decreasing lengths.

1, 29, 499, 6676, 77078, 810470, 8016373, 76334142, 713507667, 6658565009, 62882380589, 606149817728, 5983648334738, 60440402586898, 622934996801505, 6532386995235676, 69575530733726891, 752420279343383619, 8269751757387345271, 92538014365261646366

Offset

7,2

Links

Alois P. Heinz, Table of n, a(n) for n = 7..576

Wikipedia, Partition of a set

Maple

b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,
      add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))(
       combinat[multinomial](n, i$j, n-i*j)/j!*
      b(n-i*j, min(n-i*j, i-1), max(0, t-j))), j=0..n/i)))
    end:
a:= n-> b(n$2, 7)[2]:
seq(a(n), n=7..26);

Crossrefs

Column k=7 of A319375.

Sequence in context: A022753 A225969 A211560 * A228217 A305315 A225899

Adjacent sequences: A333061 A333062 A333063 * A333065 A333066 A333067

Keyword

nonn

Author

Alois P. Heinz, Mar 06 2020

Status

approved