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 A070745 #16 Mar 20 2025 03:28:26
%S A070745 3,6,10,14,15,17,21,24,28,29,35,36,42,43,45,48,55,57,60,62,63,66,76,
%T A070745 78,80,81,90,91,99,105,112,118,119,120,123,127,129,132,136,140,141,
%U A070745 143,147,153,154,155,161,162,165,168,171,172,179,185,190,192,195,209,210
%N A070745 Numbers z such that the Diophantine equation x^2 + y^3 = z^2 has solutions with x, y > 0.
%H A070745 Chai Wah Wu, <a href="/A070745/b070745.txt">Table of n, a(n) for n = 1..10000</a>
%F A070745 a(n) = sqrt(A066647(n)). - _Amiram Eldar_, Mar 20 2025
%e A070745 42 is in the sequence because 6^2 + 12^3 = 42^2.
%t A070745 q[n_] := Length[Reduce[a^2 + b^3 == n^2 && a > 0 && b > 0, {a, b}, Integers]] > 0; Select[Range[210], q] (* _Amiram Eldar_, Mar 20 2025 *)
%o A070745 (PARI) for(n=0,350,if(sum(i=1,n,sum(j=1,n,if(i^2+j^3-n^2,0,1)))>0,print1(n,",")))
%Y A070745 Cf. A066647.
%K A070745 easy,nonn
%O A070745 1,1
%A A070745 _Benoit Cloitre_, May 14 2002
%E A070745 Corrected and edited by _John W. Layman_, May 21 2002