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A320148 Number of integer solutions to a^2 + b^2 + 3*c^2 + 6*d^2 = n. 5
1, 4, 4, 2, 12, 16, 2, 16, 28, 8, 32, 40, 10, 48, 48, 8, 44, 40, 24, 72, 48, 16, 72, 64, 10, 52, 80, 38, 96, 112, 8, 80, 108, 12, 104, 128, 48, 144, 136, 8, 112, 104, 32, 168, 136, 64, 128, 96, 26, 132, 116, 36, 176, 208, 70, 96, 192, 28, 192, 232, 24, 240, 176, 80 (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)^2 * theta_3(q^3) * theta_3(q^6).

CROSSREFS

Cf. A034896, A272364, A320147.

Sequence in context: A232523 A224821 A034933 * A320147 A272364 A188657

Adjacent sequences:  A320145 A320146 A320147 * A320149 A320150 A320151

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 06 2018

STATUS

approved

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Last modified March 30 09:35 EDT 2020. Contains 333125 sequences. (Running on oeis4.)