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A042632 Numerators of continued fraction convergents to sqrt(846). 2

%I #14 Jul 18 2023 15:24:22

%S 29,320,349,669,1018,1687,2705,4392,11489,15881,27370,43251,70621,

%T 113872,184493,2143295,124495603,1371594928,1496090531,2867685459,

%U 4363775990,7231461449,11595237439,18826698888

%N Numerators of continued fraction convergents to sqrt(846).

%H Vincenzo Librandi, <a href="/A042632/b042632.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_32">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, 4286590, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 4286590*a(n-16) - a(n-32) for n>31. [_Bruno Berselli_, Nov 30 2013]

%t Numerator[Convergents[Sqrt[846], 30]] (* _Harvey P. Dale_, Feb 27 2013 *)

%Y Cf. A042633.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified July 29 14:21 EDT 2024. Contains 374734 sequences. (Running on oeis4.)