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.

A066648 Cubes of the form a^2 + b^3 with a, b > 0.

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%I A066648 #15 Mar 20 2025 03:25:42
%S A066648 512,1000,2744,21952,32768,35937,64000,175616,185193,274625,357911,
%T A066648 373248,405224,474552,729000,1157625,1404928,1481544,2000376,2097152,
%U A066648 2197000,2299968,2744000,3241792,3652264,3723875,4096000,5451776,7189057,8000000,10218313,10360232
%N A066648 Cubes of the form a^2 + b^3 with a, b > 0.
%H A066648 Amiram Eldar, <a href="/A066648/b066648.txt">Table of n, a(n) for n = 1..5000</a>
%F A066648 a(n) = A228946(n)^3. - _R. J. Mathar_, Dec 03 2015
%e A066648 8^3 = a(0) = 512 = 169 + 343 = 13^2 + 7^3;
%e A066648 10^3 = a(1) = 1000 = 784 + 216 = 28^2 + 6^3.
%t A066648 q[n_] := Length[Reduce[a^2 + b^3 == n && a > 0 && b > 0, {a, b}, Integers]] > 0; Select[Range[220]^3, q] (* _Amiram Eldar_, Mar 20 2025 *)
%Y A066648 Cf. A055394, A066647, A228946.
%K A066648 nonn
%O A066648 1,1
%A A066648 _Reinhard Zumkeller_, Dec 17 2001