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A042025 Denominators of continued fraction convergents to sqrt(536). 2

%I

%S 1,6,7,13,33,178,389,567,956,6303,290894,1751667,2042561,3794228,

%T 9631017,51949313,113529643,165478956,279008599,1839530550,

%U 84897413899,511224013944,596121427843,1107345441787,2810812311417,15161406998872,33133626309161

%N Denominators of continued fraction convergents to sqrt(536).

%H Vincenzo Librandi, <a href="/A042025/b042025.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,291850,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -6*x^17 +7*x^16 -13*x^15 +33*x^14 -178*x^13 +389*x^12 -567*x^11 +956*x^10 -6303*x^9 -956*x^8 -567*x^7 -389*x^6 -178*x^5 -33*x^4 -13*x^3 -7*x^2 -6*x -1) / (x^20 -291850*x^10 +1). - _Colin Barker_, Nov 29 2013

%F a(n) = 291850*a(n-10) - a(n-20) for n>19. - _Vincenzo Librandi_, Jan 12 2014

%t Denominator[Convergents[Sqrt[536], 30]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A042024, A040512.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013

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Last modified August 10 01:54 EDT 2020. Contains 336363 sequences. (Running on oeis4.)