login
Denominators of continued fraction convergents to sqrt(971).
2

%I #17 Jun 26 2022 23:45:00

%S 1,6,25,31,56,87,230,1237,3941,9119,113369,3523558,42396065,88315688,

%T 307343129,1625031333,3557405795,5182437128,8739842923,13922280051,

%U 64428963127,400496058813,24895184609533,149771603716011,623981599473577,773753203189588

%N Denominators of continued fraction convergents to sqrt(971).

%H Vincenzo Librandi, <a href="/A042879/b042879.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_44">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, 24959613572660, 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) = 24959613572660*a(n-22) - a(n-44) for n > 43. - _Vincenzo Librandi_, Jan 31 2014

%t Denominator/@Convergents[Sqrt[971], 30] (* _Harvey P. Dale_, May 04 2011 *)

%Y Cf. A042878, A040939.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Vincenzo Librandi_, Jan 31 2014