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A174758 x-values in the solution to x^2-55*y^2=1. 2
1, 89, 15841, 2819609, 501874561, 89330852249, 15900389825761, 2830180058133209, 503756149957885441, 89665764512445475289, 15960002327065336716001, 2840790748453117489972889 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A175014.

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)=1, a(2)=89.

G.f.: x*(1-89*x)/(1-178*x+x^2).

MATHEMATICA

LinearRecurrence[{178, -1}, {1, 89}, 30]

PROG

(MAGMA) I:=[1, 89]; [n le 2 select I[n] else 178*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A175014.

Sequence in context: A116254 A086695 A056568 * A181681 A167398 A023330

Adjacent sequences:  A174755 A174756 A174757 * A174759 A174760 A174761

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 13 2010

STATUS

approved

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Last modified October 30 03:24 EDT 2020. Contains 338076 sequences. (Running on oeis4.)