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 A236933 Number of integer solutions to a^2 + b^2 + c^2 + 12*d^2 = n. 10
 1, 6, 12, 8, 6, 24, 24, 0, 12, 30, 24, 24, 10, 36, 72, 16, 18, 96, 84, 24, 48, 108, 72, 48, 40, 78, 168, 32, 12, 168, 120, 48, 60, 144, 96, 48, 78, 84, 216, 64, 24, 240, 144, 24, 48, 168, 144, 96, 70, 114, 252, 64, 84, 312, 240, 48, 120, 252, 168, 120, 32 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 FORMULA G.f.: theta_3(q)^3*theta_3(q^12), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Aug 03 2018 MAPLE See A236924. CROSSREFS Different from A005875. For number of solutions to a^2+b^2+c^2+k*d^2=n for k=1,2,3,4,5,6,7,8,12 see A000118, A236928, A236926, A236923, A236930, A236931, A236932, A236927, A236933. Sequence in context: A105730 A213384 A005875 * A236927 A236932 A281484 Adjacent sequences:  A236930 A236931 A236932 * A236934 A236935 A236936 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 16 2014 STATUS approved

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Last modified October 15 17:24 EDT 2019. Contains 328037 sequences. (Running on oeis4.)