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A145525
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Numbers X such that there exists Y in N : X^2=273*Y^2+91.
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1
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182, 264446, 384504302, 559068990662, 812885927918246, 1181935580124139022, 1718533520614570219742, 2498746557038004975365846, 3633175775399738619611720342, 5282635078684662914910466011422, 7680947771231724478541197968887246
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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.: -182*x*(x-1) / (x^2-1454*x+1). - Colin Barker, Oct 21 2014
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EXAMPLE
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a(1)=182 because the first relation is 182^2=273*11^2+91.
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MATHEMATICA
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LinearRecurrence[{1454, -1}, {182, 264446}, 20] (* Harvey P. Dale, Nov 03 2012 *)
CoefficientList[Series[182 (1 - x)/(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(-182*x*(x-1)/(x^2-1454*x+1) + O(x^20)) \\ Colin Barker, Oct 21 2014
(Magma) I:=[182, 264446]; [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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