A320195 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 6*d^2 = n.

1, 2, 2, 4, 4, 4, 10, 12, 10, 14, 16, 12, 24, 28, 12, 20, 28, 16, 26, 36, 8, 24, 48, 24, 30, 42, 28, 40, 72, 28, 32, 60, 34, 60, 64, 24, 28, 76, 36, 56, 80, 40, 60, 84, 72, 52, 96, 48, 72, 86, 42, 80, 56, 52, 82, 96, 36, 72, 112, 60, 120, 124, 60, 84, 124, 56, 96, 132, 32

Offset

0,2

Comments

a(n) > 0 for n >= 0.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^6).

Crossrefs

Cf. A320193, A320194, A320196, A033720, A320197, A320198, A320199, A320200, A320201, A320202.

Sequence in context: A220461 A220287 A354492 * A129163 A083549 A083548

Adjacent sequences: A320192 A320193 A320194 * A320196 A320197 A320198

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved