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A330995
Denominator P(n)/Q(n) = A000041(n)/A000009(n).
6
1, 1, 1, 2, 2, 3, 4, 1, 3, 4, 5, 3, 15, 18, 22, 27, 32, 38, 46, 27, 64, 19, 89, 104, 122, 71, 55, 96, 111, 256, 74, 170, 130, 64, 256, 195, 668, 760, 864, 982, 53, 60, 713, 1610, 1816, 1024, 384, 185, 970, 3264, 1829, 4097, 4582, 5120, 5718, 3189, 7108, 2639
OFFSET
0,4
COMMENTS
An integer partition of n is a finite, nonincreasing sequence of positive integers (parts) summing to n. It is strict if the parts are all different. Integer partitions and strict integer partitions are counted by A000041 and A000009 respectively.
Conjecture: The only 1's occur at n = 0, 1, 2, 7.
MATHEMATICA
Table[PartitionsP[n]/PartitionsQ[n], {n, 0, 100}]//Denominator
CROSSREFS
The numerators are A330994.
The rounded quotients are A330996.
The same for factorizations is A331024.
Sequence in context: A288248 A159804 A363671 * A104567 A347711 A087824
KEYWORD
nonn,frac
AUTHOR
Gus Wiseman, Jan 08 2020
STATUS
approved