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Search: id:A120269
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| A120269 |
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Numerator of Sum[1/(2k-1)^4,{k,1,n}]. |
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+0
4
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| 1, 82, 51331, 123296356, 9988505461, 146251554055126, 4177234784807204311, 4177316109293528392, 348897735816424941428857, 45469045689642442391390873722, 45469276109166591994111574347
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a((p-1)/2) is divisible by prime p>5.
Denominators are in A128493.
The limit of the rationals r(n):=Sum[1/(2k-1)^4,{k,1,n}] for n->infinity is (Pi^4)/96 = (1-1/2^4)*Zeta(4) which is approximately 1.014678032.
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LINKS
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W. Lang, Rationals and limit.
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FORMULA
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a(n) = numerator[Sum[1/(2k-1)^4,{k,1,n}]].
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MATHEMATICA
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Numerator[Table[Sum[1/(2k-1)^4, {k, 1, n}], {n, 1, 20}]]
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CROSSREFS
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Cf. A007410, A025550.
Sequence in context: A116142 A054214 A093241 this_sequence A015077 A015040 A116296
Adjacent sequences: A120266 A120267 A120268 this_sequence A120270 A120271 A120272
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KEYWORD
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frac,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 01 2006
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EXTENSIONS
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In the %H line: erased the very last period Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 20 2009
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