A320152 - OEIS

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A320152

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

7

1, 2, 4, 8, 6, 8, 10, 4, 20, 26, 20, 40, 24, 8, 40, 20, 22, 64, 28, 40, 56, 16, 20, 32, 50, 62, 80, 80, 28, 40, 80, 20, 84, 100, 32, 144, 78, 24, 80, 32, 68, 160, 100, 88, 120, 56, 80, 64, 88, 86, 124, 160, 56, 72, 82, 40, 136, 160, 100, 232, 140, 40, 200, 52, 86, 288

(list; graph; refs; listen; history; text; internal format)

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)^2 * theta_3(q^6).

CROSSREFS

Cf. A320149, A320150, A236924, A320151, A320153.

Sequence in context: A320153 A138284 A175156 * A352763 A022478 A320151

Adjacent sequences: A320149 A320150 A320151 * A320153 A320154 A320155

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 06 2018

STATUS

approved