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.

A352133 Centered cube numbers that can be written as sums of two other cubes in at least one way.

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%I A352133 #20 Mar 14 2022 17:54:35
%S A352133 91,189,1729,12691,68705,97309,201159,400491,2484755,2554741,3587409,
%T A352133 3767491,8741691,15407765,26122131,54814509,121861441,139361059,
%U A352133 168632191,223264809,236019771,295233841,355957875,448404255,508476241,525518721,1041378589,2593625571,2746367559,2874318841,4328420941,5193550999
%N A352133 Centered cube numbers that can be written as sums of two other cubes in at least one way.
%C A352133 Numbers that are the sum of two consecutive cubes and at least one other sum of two cubes: a(n) = b(n)^3 + (b(n) + 1)^3 = c(n)^3 + d(n)^3, with c(n) > b(n) and c(n) > |d(n)|, and where b(n)=A352134(n), c(n)=A352135(n) and d(n)=A352136(n).
%C A352133 Subsequence of A005898.
%H A352133 Vladimir Pletser, <a href="/A352133/b352133.txt">Table of n, a(n) for n = 1..275</a>
%H A352133 A. Grinstein, <a href="https://web.archive.org/web/20040320144821/http://zadok.org/mattandloraine/1729.html">Ramanujan and 1729</a>, University of Melbourne Dept. of Math and Statistics Newsletter: Issue 3, 1998.
%H A352133 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CenteredCubeNumber.html">Centered Cube Number</a>
%F A352133 a(n) = A352134(n)^3 + (A352134(n) + 1)^3 = A352135(n)^3 + A352136(n)^3.
%e A352133 91 belongs to the sequence because 91 = 3^3 + 4^3 = 6^3 + (-5)^3.
%Y A352133 Cf. A005898, A001235, A272885, A352134, A352135, A352136, A352220, A352221, A352222, A352223, A352224, A352225.
%K A352133 nonn
%O A352133 1,1
%A A352133 _Vladimir Pletser_, Mar 05 2022