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A083502 Smallest k such that n*(n+k) + 1 is an n-th power. +0
2
1, 2, 18, 16, 1550, 2598, 299586, 812, 29118, 348678430, 67546215506, 20345040, 61054982557998, 281241170407078, 76861433640456450, 2690404, 128583032925805678334, 211927625850, 275941052631578947368402, 174339200 (list; graph; listen)
OFFSET

1,2

COMMENT

Sequence is obviously infinite.

If the sequence is restricted to only prime n's, the sequence increases absolutely. See comment in A083503.

MATHEMATICA

Do[i = 2; While[k = (i^n - 1)/n - n; !IntegerQ[k], i++ ]; Print[k], {n, 1, 20}]

CROSSREFS

The i's in the above Mathematica coding, except for a(1), give A055670.

Cf. A083500, A083503.

Adjacent sequences: A083499 A083500 A083501 this_sequence A083503 A083504 A083505

Sequence in context: A093481 A132629 A144158 this_sequence A076378 A066242 A022371

KEYWORD

nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 03 2003

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 11 2003

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Last modified January 7 11:41 EST 2009. Contains 152824 sequences.


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