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Denominators of continued fraction convergents to sqrt(431).
2

%I #20 Aug 09 2024 01:26:21

%S 1,1,4,21,25,71,522,593,11789,12382,98463,209308,307771,1748163,

%T 5552260,7300423,297569180,304869603,1212177989,6365759548,7577937537,

%U 21521634622,158229379891,179751014513,3573498655638,3753249670151,29846246346695,63445742363541

%N Denominators of continued fraction convergents to sqrt(431).

%H Harvey P. Dale, <a href="/A041821/b041821.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,303121440,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1).

%F a(n) = 303121440*a(n-16)- a(n-32) for n>31. - _Vincenzo Librandi_, Dec 25 2013

%t Denominator[Convergents[Sqrt[431],50]] (* _Harvey P. Dale_, Jun 04 2012 *)

%Y Cf. A041820.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 25 2013