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 A145526 Numbers Y such that 273*Y^2+91 is a square. 1

%I #16 Jan 03 2024 23:45:45

%S 11,16005,23271259,33836394581,49198094449515,71533995493200229,

%T 104010380249018683451,151231021348077672537525,

%U 219889801029724686850877899,319719619466198346603503927621,464872106814051366236807859883035

%N Numbers Y such that 273*Y^2+91 is a square.

%H Vincenzo Librandi, <a href="/A145526/b145526.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1454,-1).

%F a(n+2) = 1454*a(n+1)-a(n).

%F G.f.: 11*x*(x+1) / (x^2-1454*x+1). - _Colin Barker_, Oct 21 2014

%e a(1)=11 because the first relation is : 182^2=273*11^2+91.

%t CoefficientList[Series[11 (x + 1)/(x^2 - 1454 x + 1), {x, 0, 20}], x] (* _Vincenzo Librandi_, Oct 21 2014 *)

%o (PARI) Vec(11*x*(x+1)/(x^2-1454*x+1) + O(x^20)) \\ _Colin Barker_, Oct 21 2014

%o (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

%K easy,nonn

%O 1,1

%A _Richard Choulet_, Oct 12 2008

%E Editing from _Colin Barker_, Oct 21 2014

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Last modified September 19 11:33 EDT 2024. Contains 376010 sequences. (Running on oeis4.)