A352135 - OEIS

A352135

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

6, 6, 12, 28, 41, 46, 151, 90, 171, 181, 153, 160, 206, 1016, 292, 378, 513, 531, 831, 633, 618, 3753, 710, 1119, 1410, 830, 1246, 1307, 1623, 1506, 1629, 1752, 1845, 1917, 1917, 2019, 10815, 2140, 22331, 2871, 3660, 4481, 3881, 4230, 43356, 9955, 6294, 76621, 22988, 7170, 21253

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OFFSET

1,1

COMMENTS

Numbers j such that j^3 + k^3 = m^3 + (m + 1)^3 = N, with j <> (k +- 1), j > m and j > |k|, and where j = a(n) (this sequence), k = A352136(n), m = A352134(n) and N = A352133(n).

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).

Terms in Data are ordered according to increasing order of A352133(n) or A352134(n).

LINKS

Vladimir Pletser, Table of n, a(n) for n = 1..258

A. Grinstein, Ramanujan and 1729, University of Melbourne Dept. of Math and Statistics Newsletter: Issue 3, 1998.

Eric Weisstein's World of Mathematics, Centered Cube Number

FORMULA

a(n)^3 + A352136(n)^3 = A352134(n)^3 + (A352134(n) + 1)^3 = A352133(n).

EXAMPLE

6 belongs to the sequence as 6^3 + (-5)^3 = 3^3 + 4^3 = 91.

CROSSREFS