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A333067 Number of entries in the tenth blocks of all set partitions of [n] when blocks are ordered by decreasing lengths. 2
1, 56, 1772, 41835, 822277, 14253254, 225620777, 3337585487, 46894138343, 633327676249, 8297945378872, 106274752981884, 1339352574256161, 16713308238007881, 207742699406820799, 2586686884152971976, 32427925119758431591, 410991858695177722552 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..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, 10)[2]:

seq(a(n), n=10..27);

CROSSREFS

Column k=10 of A319375.

Sequence in context: A290607 A258465 A050989 * A140406 A075512 A223958

Adjacent sequences:  A333064 A333065 A333066 * A333068 A333069 A333070

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 06 2020

STATUS

approved

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Last modified January 21 03:47 EST 2022. Contains 350473 sequences. (Running on oeis4.)