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 A175015 y-values in the solution to x^2-57*y^2=1. 2
 0, 20, 6040, 1824060, 550860080, 166357920100, 50239541010120, 15172175027136140, 4581946618654104160, 1383732706658512320180, 417882695464252066590200, 126199190297497465597920220 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The corresponding values of x of this Pell equation are in A174759. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..200 Index entries for linear recurrences with constant coefficients, signature (302,-1). FORMULA a(n) = 302*a(n-1)-a(n-2) with a(1)=0, a(2)=20. G.f.: 20*x^2/(1-302*x+x^2). MATHEMATICA LinearRecurrence[{302, -1}, {0, 20}, 30] PROG (MAGMA) I:=[0, 20]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..20]]; CROSSREFS Cf. A174759. Sequence in context: A250020 A088852 A123379 * A135292 A222721 A223051 Adjacent sequences:  A175012 A175013 A175014 * A175016 A175017 A175018 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Apr 15 2010 STATUS approved

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