A331848 Number of partitions of n into odd parts with some part repeated.

0, 0, 1, 1, 1, 2, 3, 4, 4, 6, 8, 10, 12, 15, 19, 23, 27, 33, 41, 48, 57, 68, 81, 95, 111, 130, 153, 178, 206, 239, 278, 320, 367, 423, 486, 556, 635, 725, 827, 941, 1067, 1211, 1374, 1553, 1753, 1980, 2232, 2512, 2823, 3171, 3560, 3990, 4465, 4995, 5585, 6234, 6951, 7749

Offset: 0

Author

Ilya Gutkovskiy, Jan 29 2020

Keywords

• nonn

Comments

Also number of partitions of n into distinct parts with at least one even part.

Examples

			a(6) = 3 because we have [3, 3], [3, 1, 1, 1] and [1, 1, 1, 1, 1, 1].
		

Links

• Index entries for sequences related to partitions

Crossrefs

Cf. A000009, A000700, A047967, A261982, A331849.

Formula

a(n) = A000009(n) - A000700(n).