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A320202 Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 14*d^2 = n. 11
1, 2, 2, 4, 4, 4, 8, 8, 6, 6, 8, 4, 8, 12, 2, 12, 16, 16, 18, 20, 24, 24, 36, 20, 24, 22, 24, 40, 16, 20, 24, 32, 26, 40, 32, 24, 60, 36, 40, 36, 40, 40, 48, 28, 8, 52, 12, 48, 56, 34, 34, 48, 72, 28, 80, 40, 34, 60, 44, 60, 24, 60, 64, 76, 44, 36, 80, 60, 96, 88, 48, 56 (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) * theta_3(q^4) * theta_3(q^14).

CROSSREFS

Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320199, A320200, A320201.

Sequence in context: A306166 A317383 A033717 * A320201 A320200 A320199

Adjacent sequences: A320199 A320200 A320201 * A320203 A320204 A320205

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 07 2018

STATUS

approved

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Last modified November 29 09:49 EST 2022. Contains 358423 sequences. (Running on oeis4.)