1337220

Appears in sequences

• Number of dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=14A000150
• 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=13A007595
• a(n) = greatest residue of S(n,m) mod C(n-1,m-1), for m = 1,2,...,n; S(n,m) are Stirling numbers of second kind.at n=23A024424
• a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=27A028303
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=27A028304
• a(n) = (3*n+4)*binomial(n+7, 7)/4.at n=14A054487
• a(n) = (5*n + 4)*binomial(n+7,7)/4.at n=13A056125
• a(n) = ((2n+1) + (2n-1) - 1)!/((2n+1)!*(2n-1)!).at n=7A065097
• Number of plane trees with n edges and having an odd number of leaves.at n=13A071684
• Number of plane trees with even number of leaves.at n=13A071688
• Numerators of even raw moments in the distribution of line lengths for lines picked at random in the unit disk.at n=13A093526
• Second column and subdiagonal of number triangle A098509.at n=14A098512
• Seventh column of triangle A028364.at n=7A116870
• Triangle T(n,k), 0 <= k <= n, defined by : T(n,k) = 0 if k < 0, T(0,k) = 0^k, (n+2)*(2*n-2*k+1)*T(n,k) = (2*n+1)*( 4*(2*n-2*k+1)*T(n-1,k-1) + (n+2*k+2)*T(n-1,k) ).at n=48A123382
• Catalan numbers halved and rounded to the next integer.at n=14A130380
• Even Catalan numbers divided by 2.at n=10A152671
• Largest proper divisor of the Catalan number A000108(n).at n=12A152766
• Catalan trisection: A000108(3*n + 2)/2, n>=0.at n=4A187359
• Half-convolution of Catalan sequence A000108 with itself.at n=13A201204
• (1/n)*A205390(n).at n=42A205391