A107577 - OEIS

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

%S 1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,3,

%T 1,1,1,2,2,1,1,1,1,1,1,1,2,1,1,1,2,1,2,3,1,1,1,1,1,1,1,1,2,2,1,1,1,2,

%U 1,1,1,3,1,1,1,1,1,1,1,1,2,1,2,4,1,1,1,2,1,1,1,1,3,2,1,1,1,1,1,1,1,1,2,1,1

%N a(n)=greatest integer p such that a^p + b^p > c^p, where (a,b,c) is the n-th integer-sided triangle listed at A107572.

%e The first such triangle is (2,3,4), for which 2^1 + 3^1 > 4^1 but 2^2 + 3^2 <= 4^2, so a(1)=1.

%Y Cf. A107572.

%K nonn

%O 1,3

%A _Clark Kimberling_, May 16 2005