3282060210

Appears in sequences

• Number of dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=20A000150
• a(n) = C_n / 2 if n is even or ( C_n + C_((n-1)/2) ) / 2 if n is odd, where C = Catalan numbers (A000108).at n=19A007595
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=39A028304
• a(n) = ((2n+1) + (2n-1) - 1)!/((2n+1)!*(2n-1)!).at n=10A065097
• Number of plane trees with n edges and having an odd number of leaves.at n=19A071684
• Number of plane trees with even number of leaves.at n=19A071688
• Catalan numbers halved and rounded to the next integer.at n=20A130380
• Even Catalan numbers divided by 2.at n=15A152671
• Largest proper divisor of the Catalan number A000108(n).at n=18A152766
• Catalan trisection: A000108(3*n + 2)/2, n>=0.at n=6A187359
• Half-convolution of Catalan sequence A000108 with itself.at n=19A201204
• a(n) = binomial(2*(n+1),n) * gcd(n,2)/(2*(n+1)).at n=19A234040
• The radical of the Catalan number which is the largest squarefree number dividing binomial(2*n,n)/(n+1).at n=20A281594
• Number of ordered rooted trees with n nodes, most of which are leaves.at n=20A358585
• Number of ordered rooted trees with n nodes, at least half of which are leaves.at n=20A358586