A242899 - OEIS

A242899

Least number k > 1 such that (n^k+k^n)/(k+n) is an integer.

2, 2, 3, 4, 3, 3, 3, 2, 3, 6, 8, 4, 11, 5, 3, 16, 7, 6, 5, 5, 3, 10, 5, 3, 4, 5, 3, 4, 11, 4, 7, 11, 3, 30, 5, 3, 7, 19, 3, 10, 7, 6, 7, 11, 5, 12, 14, 6, 7, 5, 3, 12, 13, 9, 5, 8, 6, 6, 11, 4, 4, 6, 3, 64, 5, 6, 10, 6, 3, 10, 6, 6, 5, 37, 3, 30, 7, 12, 7, 20, 3, 40, 19, 9

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OFFSET

1,1

COMMENTS

a(n) <= n for all n > 1.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

EXAMPLE

(1^2+2^1)/(2+1) = 3/3 = 1 is an integer. Thus a(1) = 2.

MATHEMATICA

lnk[n_]:=Module[{k=2}, While[!IntegerQ[(n^k+k^n)/(k+n)], k++]; k]; Array[lnk, 90] (* Harvey P. Dale, Sep 02 2015 *)

PROG