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 A145530 Numbers x such that there exists n in N with (x+1)^3-x^3=91*n^2. 1
 5, 8002, 11635629, 16918197290, 24599047224757, 35766997746600114, 52005190124509341725, 75615510674038836268762, 109944900514862343425438949, 159859809733099173301751963810, 232436053407025683118403929941517, 337961861794005610154986012383002634 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..12. Index entries for linear recurrences with constant coefficients, signature (1455,-1455,1). FORMULA a(n+2) = 1454*a(n+1)-a(n)+726. G.f.: x*(6*x^2-727*x-5) / ((x-1)*(x^2-1454*x+1)). - Colin Barker, Oct 18 2014 EXAMPLE a(1)=5 because the first relation is (5+1)^3-5^3=91*1^2. MATHEMATICA LinearRecurrence[{1455, -1455, 1}, {5, 8002, 11635629}, 15] (* Paolo Xausa, Jan 17 2024 *) PROG (PARI) Vec(x*(6*x^2-727*x-5)/((x-1)*(x^2-1454*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014 CROSSREFS Sequence in context: A203689 A116140 A243235 * A067816 A076629 A052027 Adjacent sequences: A145527 A145528 A145529 * A145531 A145532 A145533 KEYWORD easy,nonn AUTHOR Richard Choulet, Oct 12 2008, Oct 13 2008 EXTENSIONS Editing and more terms from Colin Barker, Oct 18 2014 STATUS approved

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Last modified May 21 05:34 EDT 2024. Contains 372728 sequences. (Running on oeis4.)