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Denominators of continued fraction convergents to sqrt(688).
2

%I #16 Jul 18 2023 14:35:21

%S 1,4,9,13,74,531,1667,12200,62667,74867,212401,924471,48284893,

%T 194064043,436412979,630477022,3588798089,25752063645,80844989024,

%U 591666986813,3039179923089,3630846909902,10300873742893,44834341881474,2341686651579541,9411580948199638

%N Denominators of continued fraction convergents to sqrt(688).

%H Vincenzo Librandi, <a href="/A042323/b042323.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, 48497294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 48497294*a(n-12) - a(n-24) for n>23. - _Vincenzo Librandi_, Jan 20 2014

%t Denominator[Convergents[Sqrt[688], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042322 (numerators).

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 20 2014