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a(n) = greatest integer p for which n^p + (n+1)^p > (n+2)^p.
1

%I #2 Mar 30 2012 18:57:06

%S 0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,

%T 14,15,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,

%U 25,26,26,27,27,28,28,28,29,29,30,30,31,31,32,32,33,33,34,34,35,35,36,36

%N a(n) = greatest integer p for which n^p + (n+1)^p > (n+2)^p.

%C These occur thrice: 15,28,41,54,...

%e a(3)=1 because 3+4>5 but 9+16 is not > 25.

%K nonn

%O 0,5

%A _Clark Kimberling_, Aug 13 2005