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.

A066647 Squares of the form a^2 + b^3 with a, b > 0.

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%I A066647 #9 Mar 20 2025 03:24:19
%S A066647 9,36,100,196,225,289,441,576,784,841,1225,1296,1764,1849,2025,2304,
%T A066647 3025,3249,3600,3844,3969,4356,5776,6084,6400,6561,8100,8281,9801,
%U A066647 11025,12544,13924,14161,14400,15129,16129,16641,17424,18496,19600,19881,20449,21609,23409
%N A066647 Squares of the form a^2 + b^3 with a, b > 0.
%H A066647 Amiram Eldar, <a href="/A066647/b066647.txt">Table of n, a(n) for n = 1..10000</a>
%F A066647 a(n) = A070745(n)^2. - _Amiram Eldar_, Mar 20 2025
%e A066647 29^2 = a(9) = 841 = 625 + 216 = 25^2 + 6^3.
%t A066647 q[n_] := Length[Reduce[a^2 + b^3 == n && a > 0 && b > 0, {a, b}, Integers]] > 0; Select[Range[140]^2, q] (* _Amiram Eldar_, Mar 20 2025 *)
%Y A066647 Cf. A055394, A066648, A070745.
%K A066647 nonn
%O A066647 1,1
%A A066647 _Reinhard Zumkeller_, Dec 17 2001