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%I #40 Dec 12 2023 07:40:07
%S 4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,
%T 11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,
%U 7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11,4,7,11
%N Periodic sequence: repeat 4,7,11.
%C Continued fraction expansion of (158+sqrt(27226))/78.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1).
%F G.f.: (4 + 7*x + 11*x^2)/(1 - x^3).
%F a(n) = a(n-3) for n>2.
%F a(n) = 4*A010882(n) - A011655(n) = 4*(n + 1 - 3*floor(n/3)) - (1 - (-1)^(n-3*floor((n+1)/3)))/2.
%t PadRight[{},120,{4,7,11}] (* _Harvey P. Dale_, Jul 17 2013 *)
%o (Magma) &cat[[4,7,11]^^30];
%o (Maxima) makelist(concat(4,", ",7,", ",11), n, 0, 28); /* _Bruno Berselli_, Nov 13 2012 */
%o (Python) [4,7,11]*30 # _Bruno Berselli_, Dec 02 2016
%Y Cf. A010882, A011655.
%K nonn,easy
%O 0,1
%A _Bruno Berselli_, Sep 17 2010
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