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 A145336 Numbers x such that there exists n in N : (x+1)^3-x^3=43*n^2. 2
 26, 893341, 30114541938, 1015161207853493, 34221084286626723946, 1153592750287025656383021, 38887611577954550590044930818, 1310901385139255150103388961508613, 44190485654156679532030691302410430266, 1489661270090720281885499453700866642775101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..10. Index entries for linear recurrences with constant coefficients, signature (33711,-33711,1). FORMULA a(n+2) = 33710*a(n+1)-a(n)+16854. G.f.: x*(27*x^2-16855*x-26) / ((x-1)*(x^2-33710*x+1)). - Colin Barker, Oct 18 2014 EXAMPLE a(1)=26 because the first relation is : 27^3-26^3=43*7^2. MATHEMATICA LinearRecurrence[{33711, -33711, 1}, {26, 893341, 30114541938}, 20] (* Harvey P. Dale, Mar 16 2023 *) PROG (PARI) Vec(x*(27*x^2-16855*x-26)/((x-1)*(x^2-33710*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014 CROSSREFS Sequence in context: A265959 A112946 A034246 * A271246 A005084 A050454 Adjacent sequences: A145333 A145334 A145335 * A145337 A145338 A145339 KEYWORD easy,nonn AUTHOR Richard Choulet, Oct 08 2008 EXTENSIONS Editing and more terms from Colin Barker, Oct 18 2014 STATUS approved

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Last modified May 20 08:05 EDT 2024. Contains 372703 sequences. (Running on oeis4.)