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A060453
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Dot product of the squares and the quarter-squares: a(n) = sum(i=1..n, i^2 * floor(i^2/4)).
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3
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0, 4, 22, 86, 236, 560, 1148, 2172, 3792, 6292, 9922, 15106, 22204, 31808, 44408, 60792, 81600, 107844, 140334, 180334, 228844, 287408, 357236, 440180, 537680, 651924, 784602, 938266, 1114876, 1317376, 1548016, 1810160, 2106368, 2440452
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OFFSET
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1,2
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LINKS
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FORMULA
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G.f.: 2*x^2*(2+5*x+10*x^2+5*x^3+2*x^4) / ( (1+x)^3*(x-1)^6 ). - R. J. Mathar, Apr 04 2012
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MAPLE
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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