A320822 Number of partitions of n with exactly nine sorts of part 1 which are introduced in ascending order.

1, 45, 1156, 22321, 360704, 5158652, 67512671, 826325926, 9601854284, 107074391802, 1155110296163, 12128784832510, 124544257464575, 1255354199998891, 12457896065009874, 122014591067156240, 1181759128040203056, 11337243349606910986, 107879491494316487583

Offset

9,2

Links

Alois P. Heinz, Table of n, a(n) for n = 9..1053

Formula

a(n) = A320740(n) - A320739(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))(9):
seq(a(n), n=9..35);

Crossrefs

Column k=9 of A292746.

Cf. A320739, A320740.

Sequence in context: A049447 A327510 A215769 * A229796 A143400 A226981

Adjacent sequences: A320819 A320820 A320821 * A320823 A320824 A320825

Keyword

nonn

Author

Alois P. Heinz, Oct 21 2018

Status

approved