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Search: id:A096987
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| A096987 |
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Numerator of sum{k=1 to n} 1/H(k), H(k) =sum{j=1 to k}1/j. |
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+0
3
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| 0, 1, 5, 73, 2221, 353777, 19595573, 239046803, 198972350083, 1535302297058707, 100536661265514127, 8974880059175708288297, 818810519369821323965929237, 990666575600755815615137883006341
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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1/1 +1/(1 +1/2) +1/(1 +1/2 +1/3) = 73/33, so a(3) = 73.
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MATHEMATICA
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f[n_] := Numerator[ Sum[ 1/HarmonicNumber[j], {j, 1, n}]]; Table[ f[n], {n, 0, 14}] (from Robert G. Wilson v Aug 21 2004)
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PROGRAM
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(PARI) m=13; for(n=0, m, print1(numerator(sum(k=1, n, 1/sum(j=1, k, 1/j))), ", ")) - Klaus Brockhaus, Aug 21 2004
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CROSSREFS
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Sequence in context: A126748 A048144 A144682 this_sequence A096538 A012640 A128889
Adjacent sequences: A096984 A096985 A096986 this_sequence A096988 A096989 A096990
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Leroy Quet Aug 19 2004
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 21 2004
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