A320821 Number of partitions of n with exactly eight sorts of part 1 which are introduced in ascending order.

1, 36, 751, 11917, 159815, 1912316, 21084803, 218711887, 2164920950, 20657703246, 191440769945, 1732792167043, 15385193971985, 134455882817716, 1159708265019855, 9893526482067374, 83627808435796896, 701411197245083482, 5844301347854288709, 48423747013469923303

Offset

8,2

Links

Alois P. Heinz, Table of n, a(n) for n = 8..1112

Formula

a(n) = A320739(n) - A320738(n).

Maple

b:= proc(n, i, k) option remember; `if`(n=0 or i<2, add(
      Stirling2(n, j), j=0..k), add(b(n-i*j, i-1, k), j=0..n/i))
    end:
a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(8):
seq(a(n), n=8..35);

Crossrefs

Column k=8 of A292746.

Cf. A320738, A320739.

Sequence in context: A049434 A327509 A215768 * A144941 A036084 A265194

Adjacent sequences: A320818 A320819 A320820 * A320822 A320823 A320824

Keyword

nonn

Author

Alois P. Heinz, Oct 21 2018

Status

approved