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 A078393 #12 Mar 27 2025 04:22:22
%S A078393 2,5,10,17,26,31,33,37,43,57,65,73,82,89,91,101,113,122,127,129,134,
%T A078393 141,145,161,170,174,177,185,197,206,217,223,226,233,241,246,257,265,
%U A078393 269,283,290,321,337,347,353,359,362,379,381,385,401,407,427,442,443
%N A078393 Squarefree numbers which can be written as sum of a positive square and a positive cube.
%H A078393 Amiram Eldar, <a href="/A078393/b078393.txt">Table of n, a(n) for n = 1..8398</a>
%e A078393 7*13 = 91 = 8^2 + 3^3, therefore 91 is a term.
%t A078393 spspcQ[{a_,b_}]:=AllTrue[{Sqrt[a],Surd[b,3]},IntegerQ]||AllTrue[{Sqrt[ b],Surd[ a,3]},IntegerQ]; Select[Range[500],SquareFreeQ[#] && Length[ Select[IntegerPartitions[#,{2}],spspcQ]]>0&] (* _Harvey P. Dale_, Jan 13 2019 *)
%Y A078393 Intersection of A005117 and A055394.
%Y A078393 Cf. A066649.
%K A078393 nonn
%O A078393 1,1
%A A078393 _Reinhard Zumkeller_, Nov 25 2002