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A042220 Numerators of continued fraction convergents to sqrt(636). 2

%I #14 Jul 17 2023 23:51:10

%S 25,101,126,227,807,2648,32583,100397,333774,434171,767945,3505951,

%T 176065495,707767931,883833426,1591601357,5658637497,18567513848,

%U 228468803673,703973924867,2340390578274,3044364503141

%N Numerators of continued fraction convergents to sqrt(636).

%C Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7011902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). - _Harvey P. Dale_, May 08 2022

%H Vincenzo Librandi, <a href="/A042220/b042220.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7011902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%t Numerator[Convergents[Sqrt[636], 30]] (* _Harvey P. Dale_, Sep 17 2013 *)

%Y Cf. A042221.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified April 19 23:40 EDT 2024. Contains 371798 sequences. (Running on oeis4.)