A330994 Numerator of P(n)/Q(n) = A000041(n)/A000009(n).

1, 1, 2, 3, 5, 7, 11, 3, 11, 15, 21, 14, 77, 101, 135, 176, 231, 297, 385, 245, 627, 198, 1002, 1255, 1575, 979, 812, 1505, 1859, 4565, 1401, 3421, 2783, 1449, 6155, 4961, 17977, 21637, 26015, 31185, 1778, 2123, 26587, 63261, 75175, 44567, 17593, 8911, 49091

Offset

0,3

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.

Links

Table of n, a(n) for n=0..48.

Formula

A330994/A330995 = A000041/A000009.

Mathematica

Table[PartitionsP[n]/PartitionsQ[n], {n, 0, 100}]//Numerator

Crossrefs

The denominators are A330995.

The rounded quotients are A330996.

The same for factorizations is A331023.

Cf. A000009, A000041, A003238, A005117, A035359, A046063, A331022.

Sequence in context: A039710 A087173 A179335 * A097858 A084408 A257347

Adjacent sequences: A330991 A330992 A330993 * A330995 A330996 A330997

Keyword

nonn,frac

Author

Gus Wiseman, Jan 08 2020

Status

approved