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

1,7

Comments

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

Links

Table of n, a(n) for n=1..55.

Formula

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

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

Crossrefs

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

Sequence in context: A002121 A279158 A273166 * A300822 A118658 A165912

Adjacent sequences: A331259 A331260 A331261 * A331263 A331264 A331265

Keyword

nonn

Author

Omar E. Pol, Jan 13 2020

Status

approved