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A083560
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Nearest integer to 1/sum(k>n,1/k^5).
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0
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1, 27, 176, 640, 1707, 3760, 7280, 12842, 21120, 32880, 48986, 70400, 98176, 133466, 177520, 231680, 297386, 376176, 469680, 579626, 707840, 856240, 1026842, 1221760, 1443200, 1693466, 1974960, 2290176, 2641706, 3032240, 3464560
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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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n>2 a(n)=floor(4*n^4-8*n^3+28/3*n^2-16/3*n)
Empirical G.f.: x*(x^11-4*x^10+6*x^9-4*x^8+2*x^7-4*x^6-21*x^5-73*x^4-93*x^3-74*x^2-23*x-1) / ((x-1)^5*(x^2+x+1)). [Colin Barker, Dec 01 2012]
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PROG
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(PARI) a(n)=round(1/(zeta(5)-sum(k=1, n-1, 1/k^5)))
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CROSSREFS
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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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