|
%I #35 Jun 16 2023 15:31:14
%S 5,11,115,241,2525,5291,55435,116161,1217045,2550251,26719555,
%T 55989361,586613165,1229215691,12878770075,26986755841,282746328485,
%U 592479412811,6207540456595,13007560326001,136283143716605,285573847759211,2992021621308715,6269617090376641
%N Numerators of continued fraction convergents to sqrt(30).
%H Vincenzo Librandi, <a href="/A041048/b041048.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,22,0,-1).
%F G.f.: (5+11*x+5*x^2-x^3)/(1-22*x^2+x^4). - _Colin Barker_, Jan 02 2012
%F a(n) = 22*a(n-2) - a(n-4). - _Wesley Ivan Hurt_, Jun 16 2023
%t Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[30], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011 *)
%t Numerator[Convergents[Sqrt[30], 30]] (* _Harvey P. Dale_, May 06 2012 *)
%Y Cf. A010485, A041049.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Harvey P. Dale_, Apr 04 2013
|
