A320194 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 5*d^2 = n.

1, 2, 2, 4, 4, 6, 12, 12, 14, 14, 16, 20, 24, 24, 12, 24, 20, 24, 34, 12, 26, 36, 44, 36, 40, 38, 40, 80, 44, 32, 44, 40, 54, 72, 24, 24, 68, 48, 76, 64, 56, 48, 104, 84, 40, 98, 36, 84, 104, 50, 58, 56, 84, 104, 112, 76, 48, 120, 120, 92, 128, 60, 80, 132, 76, 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^5).

Crossrefs

Cf. A320193, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201, A320202.

Sequence in context: A188524 A126064 A066813 * A033732 A033752 A059886

Adjacent sequences: A320191 A320192 A320193 * A320195 A320196 A320197

Keyword

nonn

Author

Seiichi Manyama, Oct 07 2018

Status

approved