

A083502


Smallest k such that n*(n+k) + 1 is an nth power.


1



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

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..20.


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.
Sequence in context: A303236 A174708 A144158 * A076378 A231502 A231864
Adjacent sequences: A083499 A083500 A083501 * A083503 A083504 A083505


KEYWORD

nonn


AUTHOR

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


EXTENSIONS

Edited and extended by Robert G. Wilson v, May 11 2003


STATUS

approved



