A174747 x-values in the solution to x^2-37*y^2=1.

1, 73, 10657, 1555849, 227143297, 33161365513, 4841332221601, 706801342988233, 103188154744060417, 15064763791289832649, 2199352325373571506337, 321090374740750150092553, 46876995359824148342006401

Offset: 1

Author

Vincenzo Librandi, Apr 12 2010

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A174775, Row 6 of array A188645.

Programs

Magma

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

Mathematica

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

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