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 A175014 y-values in the solution to x^2-55*y^2=1. 2
 0, 12, 2136, 380196, 67672752, 12045369660, 2144008126728, 381621401187924, 67926465403323744, 12090529220390438508, 2152046274764094730680, 383052146378788471622532, 68181130009149583854080016 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The corresponding values of x of this Pell equation are in A174758. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..200 Index entries for linear recurrences with constant coefficients, signature (178,-1). FORMULA a(n) = 178*a(n-1)-a(n-2) with a(1)=0, a(2)=12. G.f.: 12*x^2/(1-178*x+x^2). a(n) = ((89+12*sqrt(55))^(n-1) - (89-12*sqrt(55))^(n-1))/(2*sqrt(55)). - Alan Michael Gómez Calderón, Oct 06 2023 MATHEMATICA LinearRecurrence[{178, -1}, {0, 12}, 30] PROG (Magma) I:=[0, 12]; [n le 2 select I[n] else 178*Self(n-1)-Self(n-2): n in [1..20]]; CROSSREFS Cf. A174758. Sequence in context: A342964 A009063 A012675 * A101812 A064074 A005249 Adjacent sequences: A175011 A175012 A175013 * A175015 A175016 A175017 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Apr 15 2010 STATUS approved

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Last modified July 19 00:30 EDT 2024. Contains 374388 sequences. (Running on oeis4.)