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A245038 Number of partitions of n where the minimal multiplicity of any part is 7. 2
1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 3, 3, 2, 4, 2, 3, 3, 6, 3, 6, 4, 6, 4, 6, 7, 9, 8, 9, 11, 14, 11, 19, 17, 20, 21, 25, 24, 31, 32, 36, 37, 44, 40, 52, 52, 65, 58, 70, 69, 83, 78, 93, 99, 111, 104, 126, 124, 142, 141, 177, 167, 201 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,15

LINKS

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 7..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, 7) -b(n$2, 8):

seq(a(n), n=7..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, 7] - b[n, n, 8];

Table[a[n], {n, 7, 100}] (* Jean-Fran├žois Alcover, May 01 2018, translated from Maple *)

CROSSREFS

Column k=7 of A243978.

Sequence in context: A123738 A194511 A214526 * A161312 A161246 A161031

Adjacent sequences:  A245035 A245036 A245037 * A245039 A245040 A245041

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 10 2014

STATUS

approved

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Last modified October 17 13:57 EDT 2019. Contains 328113 sequences. (Running on oeis4.)