A320820 Number of partitions of n with exactly seven sorts of part 1 which are introduced in ascending order.

1, 28, 463, 5909, 64479, 633796, 5786275, 50033463, 415225854, 3338335646, 26179143977, 201266007483, 1522856635641, 11374331041836, 84061202478127, 615860361908534, 4479596579257904, 32388729758708314, 233011769893620853, 1669336230635613631

Offset

7,2

Links

Alois P. Heinz, Table of n, a(n) for n = 7..1187

Formula

a(n) = A320738(n) - A320737(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))(7):
seq(a(n), n=7..35);

Crossrefs

Column k=7 of A292746.

Cf. A320737, A320738.

Sequence in context: A327508 A215767 A079518 * A160060 A115226 A086782

Adjacent sequences: A320817 A320818 A320819 * A320821 A320822 A320823

Keyword

nonn

Author

Alois P. Heinz, Oct 21 2018

Status

approved