A241652 - OEIS

A241652

Number of partitions p of n such that 2*(number of even numbers in p) <= (number of odd numbers in p).

1, 1, 1, 2, 2, 3, 5, 6, 10, 13, 21, 25, 40, 47, 69, 84, 117, 138, 187, 222, 292, 344, 439, 519, 654, 768, 951, 1118, 1378, 1612, 1968, 2308, 2807, 3282, 3977, 4657, 5630, 6585, 7936, 9278, 11170, 13046, 15648, 18274, 21868, 25481, 30402, 35385, 42069, 48875

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OFFSET

0,4

COMMENTS

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

LINKS

Table of n, a(n) for n=0..49.

FORMULA

a(n) = A241651(n) + A241653(n) for n >= 0.

a(n) + A241655(n) = A000041(n) for n >= 0.

EXAMPLE

a(6) counts these 5 partitions: 51, 33, 321, 3111, 111111.