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A174749 x-values in the solution to x^2-34*y^2=1. 2
1, 35, 2449, 171395, 11995201, 839492675, 58752492049, 4111834950755, 287769694060801, 20139766749305315, 1409495902757311249, 98644573426262482115, 6903710643935616436801, 483161100502066888093955 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A174773.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (70,-1).

FORMULA

a(n) = 70*a(n-1)-a(n-2) with a(1)=1, a(2)=35.

G.f.: x*(1-35*x)/(1-70*x+x^2).

MATHEMATICA

Transpose[NestList[{#[[2]], 70#[[2]]-#[[1]]}&, {1, 35}, 20]][[1]]  (* Harvey P. Dale, Mar 06 2011 *)

LinearRecurrence[{70, -1}, {1, 35}, 230] (* Vincenzo Librandi, Dec 20 2011 *)

PROG

(MAGMA) I:=[1, 35]; [n le 2 select I[n] else 70*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A174773.

Sequence in context: A215291 A249886 A290584 * A184124 A343586 A201725

Adjacent sequences:  A174746 A174747 A174748 * A174750 A174751 A174752

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 13 2010

STATUS

approved

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Last modified August 5 01:32 EDT 2021. Contains 346456 sequences. (Running on oeis4.)