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A244518 Number of partitions of n where the minimal multiplicity of any part is 5. 2
0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 3, 3, 2, 4, 2, 6, 4, 5, 4, 7, 7, 8, 8, 10, 11, 18, 13, 19, 19, 22, 29, 32, 29, 37, 37, 53, 48, 60, 54, 68, 79, 84, 86, 104, 99, 133, 125, 149, 151, 183, 191, 219, 223, 259, 268, 335, 320, 377, 391, 448, 487, 547, 552, 640, 666, 781, 795, 908, 923, 1057, 1139, 1246, 1312, 1472, 1508, 1754 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,15
COMMENTS
Column k=5 of A243978.
LINKS
Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 1..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, 5) -b(n$2, 6):
seq(a(n), n=1..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, 5] - b[n, n, 6];
Array[a, 100] (* Jean-François Alcover, May 01 2018, translated from Maple *)
CROSSREFS
Sequence in context: A242552 A249717 A249718 * A367251 A161310 A161244
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jun 29 2014
STATUS
approved

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Last modified July 24 08:28 EDT 2024. Contains 374575 sequences. (Running on oeis4.)