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A083502
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Smallest k such that n*(n+k) + 1 is an n-th power.
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1
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1, 2, 18, 16, 1550, 2598, 299586, 812, 29118, 348678430, 67546215506, 20345040, 61054982557998, 281241170407078, 76861433640456450, 2690404, 128583032925805678334, 211927625850, 275941052631578947368402, 174339200
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OFFSET
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1,2
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COMMENTS
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Sequence is obviously infinite.
If the sequence is restricted to only prime n's, the sequence increases absolutely. See comment in A083503.
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LINKS
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Table of n, a(n) for n=1..20.
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MATHEMATICA
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Do[i = 2; While[k = (i^n - 1)/n - n; !IntegerQ[k], i++ ]; Print[k], {n, 1, 20}]
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CROSSREFS
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The i's in the above Mathematica coding, except for a(1), give A055670.
Cf. A083500, A083503.
Sequence in context: A132629 A174708 A144158 * A076378 A066242 A022371
Adjacent sequences: A083499 A083500 A083501 * A083503 A083504 A083505
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 03 2003
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EXTENSIONS
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Edited and extended by Robert G. Wilson v, May 11 2003
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STATUS
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approved
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