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A352136 Numbers k in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number.

%I A352136 #38 Feb 16 2025 08:34:03
%S A352136 -5,-3,1,-21,-6,-3,-148,-69,-136,-150,18,-69,-5,-1011,107,93,-236,
%T A352136 -218,-740,-312,-21,-3746,-125,-984,-1319,-359,-963,712,-1152,-815,
%U A352136 178,-569,-706,-382,346,-982,-10794,-69,-22320,-1866,-2831,-3246,1614,-1719,-43343,-9456,-197,-76606,-22757,-865,-20976
%N A352136 Numbers k in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number.
%C A352136 Numbers k such that j^3 +k^3 = m^3 + (m + 1)^3 = N, with j <> (k +- 1), j > m and j > |k|, and where j = A352135(n), k = a(n) (this sequence), m = A352134(n) and N = A352133(n).
%C A352136 In case there are two or more pairs of numbers (j, k) such that the sum of their cubes equals the same centered cube number, the smallest occurrence of j is shown in the sequence. For other occurrences, see A352224(n) and A352225(n).
%C A352136 Terms in Data are ordered according to increasing order of A352133(n) or A352134(n).
%H A352136 Vladimir Pletser, <a href="/A352136/b352136.txt">Table of n, a(n) for n = 1..258</a>
%H A352136 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 A352136 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CenteredCubeNumber.html">Centered Cube Number</a>
%F A352136 A352135(n)^3 + a(n)^3 = A352134(n)^3 + (A352134(n) + 1)^3 = A352133(n).
%e A352136 -5 belongs to the sequence as 6^3 + (-5)^3 = 3^3 + 4^3 = 91.
%Y A352136 Cf. A005898, A001235, A272885, A352133, A352134, A352135, A352220, A352221, A352222, A352223, A352224, A352225.
%K A352136 sign
%O A352136 1,1
%A A352136 _Vladimir Pletser_, Mar 05 2022