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 A078386 #12 Mar 27 2025 04:24:38
%S A078386 2,5,3,10,6,17,6,26,14,31,33,6,37,43,22,10,26,57,21,65,34,6,73,38,10,
%T A078386 82,89,91,10,101,6,113,122,42,127,2,129,134,141,145,74,30,38,161,82,
%U A078386 170,57,174,177,185,21,14,197,102,206,26,217,110,223,15,226,58,233,241
%N A078386 Squarefree kernels of numbers which can be written as sum of a positive square and a positive cube.
%H A078386 Amiram Eldar, <a href="/A078386/b078386.txt">Table of n, a(n) for n = 1..10000</a>
%F A078386 a(n) = A007947(A055394(n)).
%e A078386 A055394(12) = 3^2+3^3 = 36, a(12) = A007947(A055394(12)) = A007947(36) = A007947(2^2*3^2) = 2*3 = 6.
%t A078386 Times @@ FactorInteger[#][[;; , 1]] & /@ Select[Range[300], Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078386 Cf. A007947, A055394, A078387.
%K A078386 nonn
%O A078386 1,1
%A A078386 _Reinhard Zumkeller_, Nov 25 2002