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A320820 Number of partitions of n with exactly seven sorts of part 1 which are introduced in ascending order. 2
1, 28, 463, 5909, 64479, 633796, 5786275, 50033463, 415225854, 3338335646, 26179143977, 201266007483, 1522856635641, 11374331041836, 84061202478127, 615860361908534, 4479596579257904, 32388729758708314, 233011769893620853, 1669336230635613631 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 7 09:46 EST 2021. Contains 341869 sequences. (Running on oeis4.)