A083502 Smallest k such that n*(n+k) + 1 is an n-th power.

1, 2, 18, 16, 1550, 2598, 299586, 812, 29118, 348678430, 67546215506, 20345040, 61054982557998, 281241170407078, 76861433640456450, 2690404, 128583032925805678334, 211927625850, 275941052631578947368402, 174339200

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: A359197 A366950 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