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%I #10 Feb 02 2018 16:38:50
%S 1,1,1,3,7,21,66,215,715,2431,8398,29393,104006,371450,1337220,
%T 4847423,17678835,64822395,238819350,883631595,3282060210,12233133510,
%U 45741281820,171529806825,644952073662,2430973200726,9183676536076
%N Catalan numbers halved and rounded to the next integer.
%C Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A130918.
%H Vincenzo Librandi, <a href="/A130380/b130380.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) = ceiling(A000108(n)/2) = (A000108(n)+A036987(n))/2.
%t Ceiling[CatalanNumber[Range[0,30]]/2] (* _Harvey P. Dale_, Feb 16 2014 *)
%o (MIT Scheme:) (define (A130380 n) (floor->exact (/ (+ (A000108 n) 1) 2)))
%K nonn
%O 0,4
%A _Antti Karttunen_, Jun 11 2007