cp's OEIS Frontend

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.

A078390 Composite numbers which can be written as sum of a positive square and a positive cube.

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%I A078390 #9 Mar 27 2025 04:23:02
%S A078390 9,10,12,24,26,28,33,36,44,50,52,57,63,65,68,72,76,80,82,91,100,108,
%T A078390 122,126,128,129,134,141,145,148,150,152,161,164,170,171,174,177,185,
%U A078390 189,196,204,206,208,217,220,225,226,232,246,252,260,264,265,280,289
%N A078390 Composite numbers which can be written as sum of a positive square and a positive cube.
%H A078390 Amiram Eldar, <a href="/A078390/b078390.txt">Table of n, a(n) for n = 1..10000</a>
%e A078390 A002808(74) = 100 = 6^2 + 4^3, therefore 100 is a term.
%t A078390 Select[Range[300], CompositeQ[#] && Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078390 Intersection of A002808 and A055394.
%Y A078390 Cf. A066649.
%K A078390 nonn
%O A078390 1,1
%A A078390 _Reinhard Zumkeller_, Nov 25 2002