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A145304 Numbers X such that there exists Y in N : X^2=237*Y^2+79 1
3002, 1369815602, 625049598820802, 285211382039759778602, 130142524046881416896829002, 59384294007354872910817107492002, 27097172124013900694904786365918667602, 12364493834472406620879088955430602756635802, 5641943265630330913796356147845990112692511056602 (list; graph; refs; listen; history; text; internal format)
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).

a(n) = 1501*((228151+14820*sqrt(237))^n+(228151-14820*sqrt(237))^n)+(195/2)*sqrt(237)*((228151-14820*sqrt(237))^n-(228151+14820*sqrt(237))^n). [Paolo P. Lava, Nov 25 2008]

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

AUTHOR

Richard Choulet, Oct 06 2008

EXTENSIONS

More terms from Harvey P. Dale, Feb 16 2014

STATUS

approved

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)