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A014819
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a(n) = Sum_{k=1..n} floor(k^4/n).
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2
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1, 8, 32, 88, 195, 377, 666, 1096, 1701, 2530, 3630, 5056, 6863, 9115, 11884, 15240, 19249, 24012, 29606, 36126, 43665, 52327, 62220, 73452, 86137, 100398, 116364, 134158, 153915, 175789, 199908, 226432, 255501, 287288, 321958, 359672, 400599, 444927, 492842
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OFFSET
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1,2
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REFERENCES
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M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985, p. 103.
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LINKS
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MAPLE
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f := m-> add( floor((nu)^4/m), nu=0..m): seq(f(n), n=1..40);
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MATHEMATICA
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Table[Sum[Floor[k^4/n], {k, 1, n}], {n, 1, 40}] (* G. C. Greubel, Nov 21 2018 *)
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PROG
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(PARI) vector(40, n, sum(k=1, n, floor(k^4/n))) \\ G. C. Greubel, Nov 21 2018
(Magma) [(&+[Floor(k^4/n): k in [1..n]]): n in [1..40]]; // G. C. Greubel, Nov 21 2018
(Sage) [sum(floor(k^4/n) for k in (1..n)) for n in (1..40)] # G. C. Greubel, Nov 21 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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