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A320740 Number of partitions of n with nine sorts of part 1 which are introduced in ascending order. 4
1, 1, 3, 7, 20, 63, 233, 966, 4454, 22404, 121615, 706306, 4360204, 28452601, 195263881, 1402218667, 10482569938, 81153069799, 647261864569, 5292447172261, 44165731426846, 374675276723042, 3220404743013997, 27967105952549269, 244844437773618386 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1053

MAPLE

b:= proc(n, i) option remember; `if`(n=0 or i<2, add(

Stirling2(n, j), j=0..9), add(b(n-i*j, i-1), j=0..n/i))

end:

a:= n-> b(n$2):

seq(a(n), n=0..40);

MATHEMATICA

b[n_, i_] := b[n, i] = If[n == 0 || i < 2, Sum[StirlingS2[n, j], {j, 0, 9}], Sum[b[n - i j, i - 1], {j, 0, n/i}]];

a[n_] := b[n, n];

a /@ Range[0, 40] (* Jean-François Alcover, Dec 07 2020, after Alois P. Heinz *)

CROSSREFS

Column k=9 of A292745.

Sequence in context: A320737 A320738 A320739 * A320741 A292503 A340357

Adjacent sequences: A320737 A320738 A320739 * A320741 A320742 A320743

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 20 2018

STATUS

approved

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Last modified February 7 16:06 EST 2023. Contains 360128 sequences. (Running on oeis4.)