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A332945 Number of entries in the fifth blocks of all set partitions of [n] when blocks are ordered by increasing lengths. 2
1, 31, 337, 3305, 27085, 203278, 1470470, 10525307, 74735025, 534251602, 3917281240, 29620189877, 230717097457, 1858373700800, 15544789470865, 135021858204377, 1215283222207344, 11317462847981403, 108929278516177839, 1082642589072326140, 11099778977689173356 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..576

Wikipedia, Partition of a set

MAPLE

b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i>n, 0,

      add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))(b(n-i*j, i+1,

      max(0, t-j))/j!*combinat[multinomial](n, i$j, n-i*j)), j=0..n/i)))

    end:

a:= n-> b(n, 1, 5)[2]:

seq(a(n), n=5..25);

CROSSREFS

Column k=5 of A319298.

Sequence in context: A111675 A142495 A100728 * A296730 A274180 A197644

Adjacent sequences:  A332942 A332943 A332944 * A332946 A332947 A332948

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 03 2020

STATUS

approved

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Last modified October 2 08:34 EDT 2022. Contains 357191 sequences. (Running on oeis4.)