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 A042059 Denominators of continued fraction convergents to sqrt(553). 2

%I #11 Sep 05 2022 21:31:15

%S 1,1,2,31,157,188,909,2006,2915,4921,17678,22599,62876,399855,862586,

%T 1262441,4649909,5912350,10562259,27036868,118709731,145746599,

%U 847442726,12857387489,13704830215,26562217704,1235566844599,1262129062303,2497695906902,38727567665833

%N Denominators of continued fraction convergents to sqrt(553).

%H Vincenzo Librandi, <a href="/A042059/b042059.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_52">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, 1249271674814, 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) = 1249271674814*a(n-26) - a(n-52). - _Wesley Ivan Hurt_, Sep 05 2022

%t Denominator[Convergents[Sqrt[553], 30]] (* _Vincenzo Librandi_, Jan 13 2014 *)

%Y Cf. A042058.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 13 2014

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Last modified June 23 12:51 EDT 2024. Contains 373648 sequences. (Running on oeis4.)