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A236933
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Number of integer solutions to a^2 + b^2 + c^2 + 12*d^2 = n.
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10
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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
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: theta_3(q)^3*theta_3(q^12), where theta_3() is the Jacobi theta function. - Ilya Gutkovskiy, Aug 03 2018
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MAPLE
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CROSSREFS
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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.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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