%I #7 May 24 2013 00:43:45
%S 1,6,31,120,418,1268,3499,8987,22316,51677,116978,252856,528275,
%T 1075319,2131671,4119410,7801334,14482065
%N Number of "abc-hits" with c < 10^n.
%C Let rad(x) be the function that computes the squarefree kernel of x (see A007947). A triple {a,b,c} of positive integers with a+b=c, gcd(a,b)=1 and c > rad(a*b*c) is called an abc-hit.
%C The first 6 terms were computed using A130510. More terms were found on the Wikipedia page.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Abc_conjecture">abc conjecture</a>
%e The only solution under 10 is 1 + 8 = 9.
%Y Cf. A130510, A130511, A130512 (c, a, and rad(a*b*c)).
%Y Cf. A225426 (a,b,c in one sequence).
%K nonn,base,hard,more
%O 1,2
%A _T. D. Noe_, May 22 2013