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 A145527 Numbers n such that there exists x in N : (x+91)^3-x^3=n^2. 1
 8281, 12032293, 17494945741, 25437639075121, 36986309720280193, 53778068895648325501, 78193275187962944998261, 113692968345229226379145993, 165309497780688107192333275561, 240359896080152162628426203519701, 349483123591043463773624507584369693 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..11. Index entries for linear recurrences with constant coefficients, signature (1454,-1). FORMULA a(n+2) = 1454*a(n+1)-a(n). a(n) = A145529(n)*8281. - Colin Barker, Oct 20 2014 G.f.: -8281*x*(x-1) / (x^2-1454*x+1). - Colin Barker, Oct 20 2014 EXAMPLE a(1)=8281 because the first relation is (455+91)^3-455^3=8281^2. MATHEMATICA LinearRecurrence[{1454, -1}, {8281, 12032293}, 15] (* Paolo Xausa, Jan 17 2024 *) PROG (PARI) Vec(-8281*x*(x-1)/(x^2-1454*x+1) + O(x^20)) \\ Colin Barker, Oct 20 2014 CROSSREFS Cf. A145529. Sequence in context: A271748 A064014 A203881 * A054215 A031589 A031769 Adjacent sequences: A145524 A145525 A145526 * A145528 A145529 A145530 KEYWORD easy,nonn AUTHOR Richard Choulet, Oct 12 2008 EXTENSIONS Editing and more terms from Colin Barker, Oct 20 2014 STATUS approved

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Last modified August 7 10:36 EDT 2024. Contains 375011 sequences. (Running on oeis4.)