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A145526
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Numbers Y such that 273*Y^2+91 is a square.
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1
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11, 16005, 23271259, 33836394581, 49198094449515, 71533995493200229, 104010380249018683451, 151231021348077672537525, 219889801029724686850877899, 319719619466198346603503927621, 464872106814051366236807859883035
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n+2) = 1454*a(n+1)-a(n).
G.f.: 11*x*(x+1) / (x^2-1454*x+1). - Colin Barker, Oct 21 2014
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EXAMPLE
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a(1)=11 because the first relation is : 182^2=273*11^2+91.
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MATHEMATICA
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CoefficientList[Series[11 (x + 1)/(x^2 - 1454 x + 1), {x, 0, 20}], x] (* Vincenzo Librandi, Oct 21 2014 *)
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PROG
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(PARI) Vec(11*x*(x+1)/(x^2-1454*x+1) + O(x^20)) \\ Colin Barker, Oct 21 2014
(Magma) I:=[11, 16005]; [n le 2 select I[n] else 1454*Self(n-1)-Self(n-2): n in [1..15]]; // Vincenzo Librandi, Oct 21 2014
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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