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.

A078360 Numbers having a unique representation as sum of a positive square and a positive cube.

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%I A078360 #11 Mar 27 2025 04:31:23
%S A078360 2,5,9,10,12,24,26,28,31,33,36,37,43,44,50,52,57,63,68,72,73,76,80,82,
%T A078360 91,100,101,113,122,126,127,128,134,141,148,150,152,161,164,170,171,
%U A078360 174,177,185,189,196,197,204,206,208,217,220,223,226,232,241,246,257
%N A078360 Numbers having a unique representation as sum of a positive square and a positive cube.
%H A078360 Amiram Eldar, <a href="/A078360/b078360.txt">Table of n, a(n) for n = 1..10000</a>
%F A078360 A078359(a(n))=1.
%e A078360 10 is a term, as 10 = 3^2 + 1^3 and all other sums of positive squares and positives cubes are not equal 10.
%e A078360 17 is not a term, as 17 = 3^2 + 2^3 = 4^2 + 1^3.
%t A078360 Select[Range[300], Length[Solve[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] == 1 &] (* _Amiram Eldar_, Mar 27 2025 *)
%Y A078360 Cf. A055394, A054402, A078359.
%K A078360 nonn
%O A078360 1,1
%A A078360 _Reinhard Zumkeller_, Nov 25 2002