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Search: id:A014537
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| A014537 |
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Number of books required for n book-lengths of overhang in the harmonic book stapling problem. Sum (1/i,i=1..a(n)) >= 2n and Sum (1/i,i=1..a(n)-1) < 2n. |
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+0
2
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| 4, 31, 227, 1674, 12367, 91380, 675214, 4989191, 36865412, 272400600, 2012783315, 14872568831, 109894245429, 812014744422, 6000022499693, 44334502845080, 327590128640500, 2420581837980561, 17885814992891026
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 259.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Mike Paterson and Uri Zwick, Overhang
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FORMULA
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a(n)=A002387(2n), n>=1. Least a(n) with H(a(n))>2n with the harmonic numbers H(k):= A001008(k)/A002805(k).
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MATHEMATICA
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f[n_] := (k = Floor[ N [ E^(n - EulerGamma) + 1/(2n), 24]] - 2; While[ Floor[ N[ Log[k] + EulerGamma + 1/(2k) - 1/(12k^2) + 1/(120k^4), 24]] < n, k++ ]; k); Table[ f[n], {n, 2, 32, 2} ]
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CROSSREFS
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Sequence in context: A087689 A059938 A005216 this_sequence A136284 A039765 A001091
Adjacent sequences: A014534 A014535 A014536 this_sequence A014538 A014539 A014540
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KEYWORD
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nonn,nice
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 06 2001
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