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 A174765 y-values in the solution to  x^2 - 19*y^2 = 1. 3
 0, 39, 13260, 4508361, 1532829480, 521157514839, 177192022215780, 60244766395850361, 20483043382566906960, 6964174505306352516039, 2367798848760777288546300, 805044644404158971753225961 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The corresponding values of x of this Pell equation are in A114048. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..200 Index to sequences with linear recurrences with constant coefficients, signature (340,-1). FORMULA a(n) = 340*a(n-1)-a(n-2) with a(1)=0, a(2)=39. G.f.: 39*x^2/(1-340*x+x^2). MATHEMATICA LinearRecurrence[{340, -1}, {0, 39}, 30] PROG (MAGMA) I:=[0, 39]; [n le 2 select I[n] else 340*Self(n-1)-Self(n-2): n in [1..20]]; CROSSREFS Cf. A114048. Sequence in context: A145619 A027490 A210327 * A115462 A112950 A173364 Adjacent sequences:  A174762 A174763 A174764 * A174766 A174767 A174768 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Apr 14 2010 STATUS approved

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