A241744 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A241744

Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1).

1, 0, 1, 0, 2, 2, 3, 6, 7, 10, 17, 18, 27, 36, 44, 61, 76, 93, 124, 151, 193, 241, 297, 369, 462, 558, 707, 850, 1044, 1281, 1561, 1884, 2323, 2761, 3367, 4050, 4857, 5826, 7024, 8307, 9982, 11840, 14058, 16684, 19785, 23265, 27585, 32379, 38125, 44760

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

OFFSET

1,5

COMMENTS

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

LINKS

Table of n, a(n) for n=1..50.

FORMULA

a(n) + A241744(n) + A241845(n) = A000041(n) for n >= 0.

EXAMPLE

a(8) counts these 7 partitions: 8, 611, 3311, 3221, 32111, 311111, 2222.

MATHEMATICA