%I #2 Mar 30 2012 18:51:28
%S 2,2,4,5,2,7,3,9,10,11,12,2,14,4,16,17,18,19,20,21,22,23,5,3,26,27,2,
%T 29,30,31,32,33,34,6,36,37,38,39,40,41,42,43,44,45,46,47,7,49,50,51,
%U 52,53,54,55,56,57,58,2,60,61,4,8,64,65,66,67,68,69,70,71,72,73,74,75,76
%N Smallest positive integer such that n=a(n)^k-k with k a positive integer.
%C It may be that positive integers can be written as n=m^k-k (with m and k > 1) in at most one way [checked up to 10000] as well as with k=1 and m=n+1.
%F a(n) = (n+A057898(n))^(1/A057898(n)).
%e a(5)=2 since 5=2^3-3
%Y Cf. A057897, A057898.
%K nonn
%O 1,1
%A _Henry Bottomley_, Sep 26 2000