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

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Last modified June 26 00:10 EDT 2019. Contains 324367 sequences. (Running on oeis4.)