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A228546 x-values in the solution to the Pell equation x^2 - 74*y^2 = -1. 2
43, 318157, 2353725443, 17412860509157, 128820339693018043, 953012855636086972957, 7050388977175431732917843, 52158776700130988324039229557, 385870622977180074445810487344843, 2854670816626401490619117661337918957 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms are multiples of 43.

LINKS

Colin Barker, Table of n, a(n) for n = 1..250

Index entries for linear recurrences with constant coefficients, signature (7398,-1).

FORMULA

a(n) = 7398*a(n-1)-a(n-2).

G.f.: 43*x*(x+1) / (x^2-7398*x+1).

MATHEMATICA

LinearRecurrence[{7398, -1}, {43, 318157}, 10] (* Harvey P. Dale, Oct 13 2017 *)

PROG

(PARI) Vec(43*x*(x+1)/(x^2-7398*x+1) + O(x^30))

CROSSREFS

Cf. A228547 gives the corresponding y-values.

Sequence in context: A155477 A212738 A291993 * A125828 A177417 A116139

Adjacent sequences:  A228543 A228544 A228545 * A228547 A228548 A228549

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Aug 25 2013

STATUS

approved

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Last modified April 11 14:58 EDT 2021. Contains 342886 sequences. (Running on oeis4.)