%I #18 Aug 07 2024 11:13:21
%S 3,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,
%T 1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,
%U 1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,2,1,1
%N Continued fraction expansion of (29+sqrt(145))/12.
%H I. Jensen, <a href="http://arXiv.org/abs/cond-mat/0008178">A transfer matrix approach to the enumeration of plane meanders</a>, arXiv:cond-mat/0008178 [cond-mat.stat-mech], 2000; J. Phys. A 33 (2000), no. 34, 5953-5963.
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1).
%F From _Colin Barker_, Jan 10 2014: (Start)
%F a(n) = a(n-5) for n>5.
%F G.f.: (2*x^5-x^4-x^3-2*x^2-2*x-3) / ((x-1)*(x^4+x^3+x^2+x+1)). (End)
%e 3.420132881566024623344...
%t PadRight[{3},120,{1,2,2,1,1}] (* _Harvey P. Dale_, Oct 15 2015 *)
%Y Cf. A077451 (decimal expansion).
%K nonn,cofr,easy
%O 0,1
%A _N. J. A. Sloane_, Dec 01 2002
%E Offset changed by _Andrew Howroyd_, Aug 07 2024