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 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. 10
 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 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A005898, A001235, A272885, A352133, A352134, A352136, A352220, A352221, A352222, A352223, A352224, A352225. Sequence in context: A315800 A160729 A315801 * A272349 A262850 A262849 Adjacent sequences:  A352132 A352133 A352134 * A352136 A352137 A352138 KEYWORD nonn,more AUTHOR Vladimir Pletser, Mar 05 2022 EXTENSIONS Missing terms inserted by Jon E. Schoenfield, Mar 11 2022 STATUS approved

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Last modified June 30 06:00 EDT 2022. Contains 354914 sequences. (Running on oeis4.)