A145304 Numbers X such that there exists Y in N : X^2=237*Y^2+79.

3002, 1369815602, 625049598820802, 285211382039759778602, 130142524046881416896829002, 59384294007354872910817107492002, 27097172124013900694904786365918667602, 12364493834472406620879088955430602756635802, 5641943265630330913796356147845990112692511056602

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..180

Index entries for linear recurrences with constant coefficients, signature (456302,-1).

Formula

a(n+2) = 456302*a(n+1)-a(n).

G.f.: -3002*x*(x-1)/(x^2-456302*x+1). [Colin Barker, Aug 24 2012]

Example

a(1)=3002 because the first relation is 3002^2=237*195^2+79

Mathematica

LinearRecurrence[{456302, -1}, {3002, 1369815602}, 10] (* Harvey P. Dale, Feb 16 2014 *)
CoefficientList[Series[3002 (1 - x)/(x^2 - 456302 x + 1), {x, 0, 40}], x] (* Vincenzo Librandi, Feb 18 2014 *)

Crossrefs

Sequence in context: A269764 A156655 A128935 * A094336 A100896 A324405

Adjacent sequences: A145301 A145302 A145303 * A145305 A145306 A145307

Keyword

easy,nonn,changed

Author

Richard Choulet, Oct 06 2008

Extensions

More terms from Harvey P. Dale, Feb 16 2014

Status

approved