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A174747 x-values in the solution to x^2-37*y^2=1. 3
1, 73, 10657, 1555849, 227143297, 33161365513, 4841332221601, 706801342988233, 103188154744060417, 15064763791289832649, 2199352325373571506337, 321090374740750150092553, 46876995359824148342006401 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A174775

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (146,-1).

FORMULA

a(n) = 146*a(n-1)-a(n-2) with a(1)=1, a(2)=73.

G.f.: x*(1-73*x)/(1-146*x+x^2)  - Bruno Berselli, Apr 18 2011

MATHEMATICA

LinearRecurrence[{146, -1}, {1, 73}, 30]

PROG

(MAGMA) I:=[1, 73]; [n le 2 select I[n] else 146*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A174775, Row 6 of array A188645.

Sequence in context: A116241 A105322 A176987 * A210382 A091757 A070531

Adjacent sequences:  A174744 A174745 A174746 * A174748 A174749 A174750

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 12 2010

STATUS

approved

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Last modified July 24 23:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)