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Search: id:A119248
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| A119248 |
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Difference between denominator and numerator of the n-th alternating harmonic number Sum[(-1)^(k+1)*1/k,{k,1,n}] = A058313(n)/A058312(n). |
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+0
1
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| 0, 1, 1, 5, 13, 23, 101, 307, 641, 893, 7303, 9613, 97249, 122989, 19793, 48595, 681971, 818107, 13093585, 77107553, 66022193, 76603673, 1529091919, 1752184789, 7690078169, 8719737569, 23184641107, 3721854001, 96460418429
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OFFSET
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1,4
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FORMULA
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a(n) = Denominator[Sum[(-1)^(k+1)*1/k,{k,1,n}]] - Numerator[Sum[(-1)^(k+1)*1/k,{k,1,n}]]. a(n) = A058312(n) - A058313(n). a(n) = A075829(n+1).
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MATHEMATICA
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Denominator[Table[Sum[(-1)^(k+1)*1/k, {k, 1, n}], {n, 1, 30}]]-Numerator[Table[Sum[(-1)^(k+1)*1/k, {k, 1, n}], {n, 1, 30}]]
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CROSSREFS
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Cf. A058312, A058313, A075829.
Sequence in context: A099958 A049833 A075829 this_sequence A114998 A140090 A121511
Adjacent sequences: A119245 A119246 A119247 this_sequence A119249 A119250 A119251
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 22 2006
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