A320127 Number of integer solutions to a^2 + b^2 + 2*c^2 + 6*d^2 = n.

1, 4, 6, 8, 12, 8, 10, 24, 18, 28, 48, 24, 40, 56, 12, 40, 60, 32, 78, 72, 24, 48, 48, 48, 70, 84, 84, 80, 120, 56, 32, 120, 66, 120, 192, 48, 84, 152, 36, 112, 144, 80, 180, 168, 120, 104, 96, 96, 136, 172, 126, 160, 168, 104, 82, 192, 84, 144, 336, 120, 200, 248, 60, 168

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)^2 * theta_3(q^2) * theta_3(q^6).

Crossrefs

Cf. A097057, A320124, A320125, A320126, A320128.

Sequence in context: A320131 A320130 A320128 * A352374 A110646 A320126

Adjacent sequences: A320124 A320125 A320126 * A320128 A320129 A320130

Keyword

nonn

Author

Seiichi Manyama, Oct 06 2018

Status

approved