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