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A245040 Number of partitions of n where the minimal multiplicity of any part is 9. 2
1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 4, 2, 3, 3, 3, 2, 7, 3, 5, 5, 6, 3, 7, 3, 6, 9, 7, 7, 12, 10, 12, 13, 14, 14, 22, 18, 22, 24, 26, 25, 35, 28, 34, 40, 42, 41, 52, 46, 55, 59, 64, 58, 81, 70, 82, 85, 92 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,19

LINKS

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 9..1000

MAPLE

b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,

      b(n, i-1, k) +add(b(n-i*j, i-1, k), j=max(1, k)..n/i)))

    end:

a:= n-> b(n$2, 9) -b(n$2, 10):

seq(a(n), n=9..100);

MATHEMATICA

b[n_, i_, k_] := b[n, i, k] = If[n == 0, 1, If[i < 1, 0, b[n, i - 1, k] + Sum[b[n - i*j, i - 1, k], {j, Max[1, k], n/i}]]];

a[n_] := b[n, n, 9] - b[n, n, 10];

Table[a[n], {n, 9, 100}] (* Jean-Fran├žois Alcover, May 01 2018, translated from Maple *)

CROSSREFS

Column k=9 of A243978.

Sequence in context: A096370 A076622 A194513 * A161314 A161248 A161033

Adjacent sequences:  A245037 A245038 A245039 * A245041 A245042 A245043

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 10 2014

STATUS

approved

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Last modified September 22 05:47 EDT 2019. Contains 327287 sequences. (Running on oeis4.)