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Search: id:A120288
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| A120288 |
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Numerator of 1/n^4 + 2/(n-1)^4 + 3/(n-2)^4 +...+ (n-1)/2^4 + n. |
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+0
1
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| 1, 33, 2033, 87425, 11440331, 82653347, 58026230977, 472474237481, 38806560342253, 431701520479427, 579954645879123307, 7598398013722878661, 16804804720323979155637, 16901141697896969645401
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OFFSET
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1,2
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COMMENT
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p^2 divides a(p-1) for prime p>3. p divides a(p-2) for prime p>5.
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FORMULA
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a(n) = numerator[Sum[Sum[1/i^4,{i,1,k}],{k,1,n}]].
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MATHEMATICA
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Numerator[Table[Sum[Sum[1/i^4, {i, 1, k}], {k, 1, n}], {n, 1, 20}]]
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CROSSREFS
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Cf. A001008, A007406, A007407, A007408, A007410.
Sequence in context: A071268 A012805 A093756 this_sequence A099370 A118641 A111922
Adjacent sequences: A120285 A120286 A120287 this_sequence A120289 A120290 A120291
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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 07 2006
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