238819350

Appears in sequences

• Number of dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=18A000150
• 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=17A007595
• a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=35A028303
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=35A028304
• a(n) = ((2n+1) + (2n-1) - 1)!/((2n+1)!*(2n-1)!).at n=9A065097
• Number of plane trees with n edges and having an odd number of leaves.at n=17A071684
• Number of plane trees with even number of leaves.at n=17A071688
• Catalan numbers halved and rounded to the next integer.at n=18A130380
• Even Catalan numbers divided by 2.at n=13A152671
• Largest proper divisor of the Catalan number A000108(n).at n=16A152766
• Half-convolution of Catalan sequence A000108 with itself.at n=17A201204
• a(n) = binomial(2*(n+1),n) * gcd(n,2)/(2*(n+1)).at n=17A234040
• Number of ordered rooted trees with n nodes, most of which are leaves.at n=18A358585
• Number of ordered rooted trees with n nodes, at least half of which are leaves.at n=18A358586