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%I #9 Jun 16 2021 02:02:47
%S 1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
%T 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
%U 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
%N a(n) = floor(Catalan(n+1)/Catalan(n)).
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F a(n) = floor(A000108(n+1)/A000108(n)).
%F G.f.: (1+x+x^4)/(1-x).
%F a(0)=1, a(1) = a(2) = a(3) = 2, a(n) = 3 for n>3.
%Y Cf. A000108, A010701.
%K nonn,easy
%O 0,2
%A _Philippe Deléham_, Feb 14 2009
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