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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
OFFSET
1,1
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
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Oct 06 2008
EXTENSIONS
More terms from Harvey P. Dale, Feb 16 2014
STATUS
approved