A330996 - OEIS

A330996

Nearest integer to P(n)/Q(n) = A000041(n)/A000009(n).

1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 28, 30, 32, 34, 35, 37, 39, 41, 44, 46, 48, 51, 53, 56, 59, 61, 64, 68, 71, 74, 78, 81, 85, 89, 93, 97, 101, 106, 111, 115, 120, 126

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Conjecture: This sequence is nondecreasing. More generally, the rational sequence A000041(n)/A000009(n) is nondecreasing for n > 5.

LINKS

Table of n, a(n) for n=0..68.

MATHEMATICA

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

CROSSREFS

The numerators are A330994.

The denominators are A330995.