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A228547 y-values in the solution to the Pell equation x^2 - 74*y^2 = -1. 2
5, 36985, 273615025, 2024203917965, 14975060311490045, 110785494160199434945, 819591070822095108233065, 6063334631156365450508779925, 44856548781703720780768845652085, 331848741823709495179762469625344905 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms are multiples of 5.

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.: -5*(x-1) / (x^2-7398*x+1).

MATHEMATICA

LinearRecurrence[{7398, -1}, {5, 36985}, 20] (* Harvey P. Dale, Jan 14 2015 *)

PROG

(PARI) Vec(-5*(x-1)/(x^2-7398*x+1) + O(x^30))

CROSSREFS

Cf. A228546 gives the corresponding x-values.

Sequence in context: A201002 A246870 A193366 * A193148 A307492 A165711

Adjacent sequences:  A228544 A228545 A228546 * A228548 A228549 A228550

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Aug 25 2013

STATUS

approved

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Last modified June 25 06:20 EDT 2021. Contains 345452 sequences. (Running on oeis4.)