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A245039 Number of partitions of n where the minimal multiplicity of any part is 8. 2
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 3, 3, 3, 2, 4, 2, 6, 4, 5, 4, 7, 3, 6, 4, 10, 6, 10, 7, 14, 11, 13, 12, 23, 15, 23, 20, 28, 24, 32, 26, 43, 34, 43, 39, 56, 45, 59, 55, 73, 63, 80, 70, 94, 81, 101, 92, 127, 104, 131 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,17

LINKS

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 8..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, 8) -b(n$2, 9):

seq(a(n), n=8..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, 8] - b[n, n, 9];

Table[a[n], {n, 8, 100}] (* Jean-Fran├žois Alcover, May 01 2018, translated from Maple *)

CROSSREFS

Column k=8 of A243978.

Sequence in context: A247976 A280986 A103689 * A161313 A161247 A161032

Adjacent sequences:  A245036 A245037 A245038 * A245040 A245041 A245042

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 10 2014

STATUS

approved

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Last modified October 23 17:17 EDT 2019. Contains 328373 sequences. (Running on oeis4.)