A174750 x-values in the solution to x^2-38*y^2=1.

1, 37, 2737, 202501, 14982337, 1108490437, 82013310001, 6067876449637, 448940843963137, 33215554576822501, 2457502097840901937, 181821939685649920837, 13452366034640253240001, 995293264623693089839237

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A174777.

Links

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

Index entries for linear recurrences with constant coefficients, signature (74,-1).

Formula

a(n) = 74*a(n-1)-a(n-2) with a(1)=1, a(2)=37.

G.f.: x*(1-37*x)/(1-74*x+x^2).

Mathematica

LinearRecurrence[{74, -1}, {1, 37}, 30]

Prog

(Magma) I:=[1, 37]; [n le 2 select I[n] else 74*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174777.

Sequence in context: A296642 A295039 A295530 * A183524 A105839 A141087

Adjacent sequences: A174747 A174748 A174749 * A174751 A174752 A174753

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved