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A320147 Number of integer solutions to a^2 + b^2 + 3*c^2 + 5*d^2 = n. 5
1, 4, 4, 2, 12, 18, 8, 16, 24, 28, 40, 8, 26, 72, 16, 16, 44, 44, 68, 24, 34, 80, 72, 28, 40, 124, 40, 50, 112, 56, 80, 40, 76, 144, 120, 32, 84, 216, 24, 40, 136, 80, 160, 88, 56, 154, 88, 28, 158, 228, 100, 48, 216, 172, 80, 104, 80, 300, 280, 40, 112, 248, 120, 112 (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^5).

CROSSREFS

Cf. A034896, A272364, A320148.

Sequence in context: A224821 A034933 A320148 * A272364 A188657 A021697

Adjacent sequences:  A320144 A320145 A320146 * A320148 A320149 A320150

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 06 2018

STATUS

approved

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Last modified April 7 04:20 EDT 2020. Contains 333292 sequences. (Running on oeis4.)