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A333064 Number of entries in the seventh blocks of all set partitions of [n] when blocks are ordered by decreasing lengths. 2
1, 29, 499, 6676, 77078, 810470, 8016373, 76334142, 713507667, 6658565009, 62882380589, 606149817728, 5983648334738, 60440402586898, 622934996801505, 6532386995235676, 69575530733726891, 752420279343383619, 8269751757387345271, 92538014365261646366 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 21 14:54 EDT 2020. Contains 337272 sequences. (Running on oeis4.)