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A174757 x-values in the solution to x^2-53*y^2=1. 2
1, 66249, 8777860001, 1163048894346249, 154101652394311440001, 20418160737778428282906249, 2705365461280064538234200740001, 358455512868267830449176701365746249 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A174983.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (132498,-1).

FORMULA

a(n) = 132498*a(n-1)-a(n-2) with a(1)=1, a(2)=66249.

G.f.: x*(1-66249*x)/(1-132498*x+x^2)

MATHEMATICA

LinearRecurrence[{132498, -1}, {1, 66249}, 30]

PROG

(MAGMA) I:=[1, 66249]; [n le 2 select I[n] else 132498*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A174983.

Sequence in context: A092376 A251333 A157620 * A164129 A043591 A022256

Adjacent sequences:  A174754 A174755 A174756 * A174758 A174759 A174760

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 13 2010

STATUS

approved

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Last modified April 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)