This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A225426 #6 May 23 2013 01:22:39 %S A225426 1,8,9,5,27,32,1,48,49,1,63,64,1,80,81,32,49,81,4,121,125,3,125,128,1, %T A225426 224,225,1,242,243,2,243,245,7,243,250,13,243,256,81,175,256,1,288, %U A225426 289,100,243,343,32,343,375,5,507,512,169,343,512,1,512,513,27,512,539 %N A225426 The triples of numbers (a,b,c) that are "abc-hits". %C A225426 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. %H A225426 T. D. Noe, <a href="/A225426/b225426.txt">Table of (a, b, c)(n), n = 1..1269</a> %H A225426 Wikipedia, <a href="http://en.wikipedia.org/wiki/Abc_conjecture">abc conjecture</a> %t A225426 rad[n_] := If[n == 1, 1, Times @@ (Transpose[FactorInteger[n]][[1]])]; nn = 1000; t = {}; r = Table[rad[n], {n, nn}]; Do[If[! PrimeQ[c], Do[b = c - a; If[GCD[a, b] == 1 && r[[a]]*r[[b]]*r[[c]] < c, num++; AppendTo[t, {a, b, c}]], {a, c/2}]], {c, 2, nn}]; t %Y A225426 Cf. A130510, A130511, A130512 (c, a, and rad(a*b*c)). %Y A225426 Cf. A225425 (number of solutions with c < 10^n). %K A225426 nonn %O A225426 1,2 %A A225426 _T. D. Noe_, May 22 2013