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Search: id:A094755
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| A094755 |
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Least integer value of (1+2^n +3^n +...k^n)/{1+2+3+...+k), k > 1. |
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+0
2
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| 1, 3, 3, 167, 11, 489, 43, 282407, 171, 110865, 683, 3710553451913, 2731, 27323481, 10923, 1293248801687, 43691, 6910715937, 174763, 2983746256027727, 699051, 1762357129833, 2796203, 734630194457006903941170593, 11184811
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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a(4) = (1^4+2^4+3^4 +4^4 +5^4 + 6^4 +7^4)/(1+2+3+4+5+6+7) = 4676/28=167, k = 7.
a(5) = (1^5 + 2^5)/(1+2) = 11, k =2.
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MATHEMATICA
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f[n_] := Block[{k = 2}, While[s = 2Sum[i^n, {i, k}]/(k(k + 1)); !IntegerQ[s], k++ ]; s]; Table[ f[n], {n, 25}] (from Robert G. Wilson v Jun 02 2004)
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CROSSREFS
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Cf. A094756.
Sequence in context: A009491 A006845 A071536 this_sequence A152418 A113457 A113466
Adjacent sequences: A094752 A094753 A094754 this_sequence A094756 A094757 A094758
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 29 2004
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 02 2004
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