A103229 Imaginary part of the sum of divisors function sigma(n) generalized for Gaussian integers.

0, 3, 0, 5, 8, 12, 0, -7, 0, 28, 0, 20, 18, 24, 32, -15, 22, 39, 0, -12, 0, 36, 0, -28, 31, 54, 0, 40, 36, 112, 0, 33, 0, 62, 64, 65, 44, 60, 72, -92, 50, 96, 0, 60, 104, 72, 0, -60, 0, -46, 88, -42, 62, 120, 96, -56, 0, 96, 0, -48, 72, 96, 0, 65, 120, 144, 0, -58, 0, 224, 0, -91, 84, 112, 124, 100, 0, 216, 0, 68, 0, 130, 0, 160, 136

Offset: 1

Author

T. D. Noe, Jan 26 2005

Keywords

• sign

Comments

See A102506 for a complete description.

See A103228 for the real part and A103230 for the norm.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A102506, A103228, A103230.

Programs

Mathematica

Im[Table[DivisorSigma[1, n, GaussianIntegers -> True], {n, 100}]]