A228522 y-values in the solution to the Pell equation x^2 - 29*y^2 = -1.

13, 254813, 4994844413, 97908939928813, 1919211035489748013, 37620374619761100622013, 737434581377346058902950813, 14455192626538362826854541214413, 283350685127970406754656657981972813, 5554240115423283286666416982908089866013

Offset

1,1

Links

Colin Barker, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (19602,-1).

Formula

a(n) = 19602*a(n-1)-a(n-2).

G.f.: -13*x*(x-1) / (x^2-19602*x+1).

Prog

(PARI) Vec(-13*x*(x-1)/(x^2-19602*x+1) + O(x^100))

Crossrefs

Cf. A228521 gives the corresponding x-values.

Sequence in context: A022547 A273217 A176119 * A274229 A013798 A055324

Adjacent sequences: A228519 A228520 A228521 * A228523 A228524 A228525

Keyword

nonn,easy

Author

Colin Barker, Aug 24 2013

Status

approved