A333067 Number of entries in the tenth blocks of all set partitions of [n] when blocks are ordered by decreasing lengths.

1, 56, 1772, 41835, 822277, 14253254, 225620777, 3337585487, 46894138343, 633327676249, 8297945378872, 106274752981884, 1339352574256161, 16713308238007881, 207742699406820799, 2586686884152971976, 32427925119758431591, 410991858695177722552

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