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A042058 Numerators of continued fraction convergents to sqrt(553). 2

%I #13 Sep 05 2022 21:32:42

%S 23,24,47,729,3692,4421,21376,47173,68549,115722,415715,531437,

%T 1478589,9402971,20284531,29687502,109347037,139034539,248381576,

%U 635797691,2791572340,3427370031,19928422495

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

%H Vincenzo Librandi, <a href="/A042058/b042058.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 Numerator[Convergents[Sqrt[553], 30]] (* _Vincenzo Librandi_, Nov 14 2013 *)

%Y Cf. A042059.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified May 17 19:01 EDT 2024. Contains 372603 sequences. (Running on oeis4.)