A241640 - OEIS

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A241640

Number of partitions p of n such that (number of even numbers in p) > (number of odd numbers in p).

0, 0, 1, 0, 2, 0, 3, 1, 6, 4, 10, 11, 20, 23, 32, 44, 57, 77, 90, 129, 150, 208, 236, 334, 381, 522, 595, 803, 936, 1234, 1435, 1861, 2193, 2770, 3291, 4105, 4884, 6001, 7172, 8678, 10418, 12487, 14969, 17791, 21330, 25164, 30181, 35398, 42337, 49463, 59057

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

OFFSET

0,5

COMMENTS

Each number in p is counted once, regardless of its multiplicity.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A241639(n) - A241638(n) for n >= 0.

a(n) + A241636(n) + A241638(n) = A000041(n) for n >= 0.

a(n) = Sum_{k<0} A242618(n,k). - Alois P. Heinz, May 19 2014

EXAMPLE