login
A331848
Number of partitions of n into odd parts with some part repeated.
1
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
0,6
COMMENTS
Also number of partitions of n into distinct parts with at least one even part.
FORMULA
a(n) = A000009(n) - A000700(n).
EXAMPLE
a(6) = 3 because we have [3, 3], [3, 1, 1, 1] and [1, 1, 1, 1, 1, 1].
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 29 2020
STATUS
approved