A331262 a(n) is the number of balanced-non-self-conjugate partitions of n.

0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 4, 4, 8, 8, 12, 14, 20, 24, 34, 38, 52, 62, 80, 94, 122, 144, 182, 216, 268, 318, 394, 462, 566, 670, 810, 954, 1152, 1352, 1620, 1900, 2262, 2650, 3144, 3668, 4332, 5054, 5940, 6910, 8102, 9404, 10986, 12732, 14824, 17148, 19918

Offset: 1

Author

Omar E. Pol, Jan 13 2020

Keywords

• nonn

Comments

a(n) is the number of balanced partitions of n (cf. A047993) that are also non-self-conjugate (cf. A330644).

Crossrefs

Cf. A000041, A000700, A000701, A067772, A047993, A330644.

Formula

a(n) = A047993(n) - A000700(n).

a(n) = 2*A067772(n).