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A120269
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Numerator of Sum[1/(2k-1)^4,{k,1,n}].
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4
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1, 82, 51331, 123296356, 9988505461, 146251554055126, 4177234784807204311, 4177316109293528392, 348897735816424941428857, 45469045689642442391390873722, 45469276109166591994111574347
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| W. Lang, Rationals and limit.
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FORMULA
| a(n) = numerator[Sum[1/(2k-1)^4,{k,1,n}]].
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MATHEMATICA
| Numerator[Table[Sum[1/(2k-1)^4, {k, 1, n}], {n, 1, 20}]]
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CROSSREFS
| Cf. A007410, A025550.
Sequence in context: A204976 A204703 A206648 * A015077 A015040 A116296
Adjacent sequences: A120266 A120267 A120268 * A120270 A120271 A120272
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KEYWORD
| frac,nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 01 2006
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EXTENSIONS
| 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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