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A041956 Numerators of continued fraction convergents to sqrt(501). 2

%I

%S 22,45,67,112,179,291,1052,8707,9759,28225,292009,320234,1893179,

%T 4106592,59385467,122877526,673773097,796650623,8640279327,

%U 18077209277,26717488604,231817118109,722168842931

%N Numerators of continued fraction convergents to sqrt(501).

%H Vincenzo Librandi, <a href="/A041956/b041956.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_56">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22485463805950, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 22485463805950*a(n-28) - a(n-56) for n>55. [_Bruno Berselli_, Nov 12 2013]

%t Numerator[Convergents[Sqrt[501], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *)

%Y Cf. A041957.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified January 19 18:52 EST 2022. Contains 350466 sequences. (Running on oeis4.)