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 A236926 Number of integer solutions to a^2 + b^2 + c^2 + 3*d^2 = n. 10
 1, 6, 12, 10, 18, 48, 40, 12, 60, 78, 24, 48, 70, 84, 120, 32, 66, 192, 84, 36, 144, 180, 120, 96, 136, 126, 168, 82, 84, 336, 200, 60, 252, 288, 96, 96, 234, 228, 360, 140, 120, 480, 144, 84, 336, 336, 240, 192, 310, 258, 252, 128, 252, 624, 400, 96, 408, 540, 168 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 J. Liouville, Sur La Forme x^2+y^2+z^2+3t^2, Journal de MathÃ©matiques Pures et appliquÃ©es (2) 8, 193-204 (1863). FORMULA G.f.: theta_3(q)^3*theta_3(q^3), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Aug 01 2018 MAPLE See A236924. CROSSREFS Cf. A236924. 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: A164378 A124349 A315566 * A134383 A272305 A114797 Adjacent sequences:  A236923 A236924 A236925 * A236927 A236928 A236929 KEYWORD nonn AUTHOR N. J. A. Sloane, Feb 15 2014 STATUS approved

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Last modified October 17 06:08 EDT 2019. Contains 328106 sequences. (Running on oeis4.)