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A228544 x-values in the solution to the Pell equation x^2 - 61*y^2 = -1. 2
29718, 104982939026082, 370866730043548288842318, 1310137939832519884162097942405082, 4628243199887591481762707268904054133171718, 16349908254732334984625073953919472453334678640507282, 57758308799472135354556537295795833330948905641138816306457918 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms are multiples of 29718.

LINKS

Colin Barker, Table of n, a(n) for n = 1..100

Index entries for linear recurrences with constant coefficients, signature (3532638098,-1).

FORMULA

a(n) = 3532638098*a(n-1)-a(n-2).

G.f.: 29718*x*(x+1) / (x^2-3532638098*x+1).

PROG

(PARI) Vec(29718*x*(x+1)/(x^2-3532638098*x+1) + O(x^20))

CROSSREFS

Cf. A228545 gives the corresponding y-values.

Sequence in context: A236317 A204601 A203502 * A206203 A204283 A251054

Adjacent sequences:  A228541 A228542 A228543 * A228545 A228546 A228547

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Aug 25 2013

STATUS

approved

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Last modified June 19 13:05 EDT 2021. Contains 345129 sequences. (Running on oeis4.)