A174759 x-values in the solution to x^2-57*y^2=1.

1, 151, 45601, 13771351, 4158902401, 1255974753751, 379300216730401, 114547409477827351, 34592938362087129601, 10446952837940835312151, 3154945164119770177140001, 952782992611332652660968151

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A175015.

Links

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

Index entries for linear recurrences with constant coefficients, signature (302,-1).

Formula

a(n) = 302*a(n-1)-a(n-2) with a(1)=1 a(2)=151.

G.f.: x*(1-151*x)/(1-302*x+x^2).

Mathematica

LinearRecurrence[{302, -1}, {1, 151}, 30]

Prog

(Magma) I:=[1, 151]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A175015.

Sequence in context: A060889 A206362 A200934 * A289821 A234348 A185394

Adjacent sequences: A174756 A174757 A174758 * A174760 A174761 A174762

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved