A320198 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 10*d^2 = n.

1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 10, 8, 12, 20, 8, 16, 28, 24, 22, 24, 24, 16, 40, 32, 8, 30, 32, 32, 36, 28, 16, 32, 54, 32, 32, 36, 28, 52, 56, 16, 26, 44, 32, 60, 48, 44, 40, 72, 84, 46, 74, 32, 72, 76, 48, 80, 24, 64, 92, 72, 52, 52, 96, 64, 92, 84, 32, 92, 96

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^10).

Crossrefs

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320199, A320200, A320201, A320202.

Sequence in context: A320200 A320199 A033756 * A320197 A124340 A071165

Adjacent sequences: A320195 A320196 A320197 * A320199 A320200 A320201

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved