A041585 - OEIS

%I #11 Jul 16 2023 20:46:50

%S 1,1,2,3,5,28,89,117,323,440,1643,8655,10298,18953,29251,48204,

%T 1668187,1716391,3384578,5100969,8485547,47528704,151071659,198600363,

%U 548272385,746872748,2788890629,14691325893,17480216522,32171542415,49651758937,81823301352

%N Denominators of continued fraction convergents to sqrt(310).

%H Vincenzo Librandi, <a href="/A041585/b041585.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, 1697438, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 1697438*a(n-16) - a(n-32) for n>31. [_Bruno Berselli_, Dec 20 2013]

%t Denominator[Convergents[Sqrt[310], 30]] (* _Vincenzo Librandi_, Dec 20 2013 *)

%Y Cf. A041584.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 20 2013