17678835

Appears in sequences

• Number of dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=16A000150
• Coefficients of Legendre polynomials.at n=8A001795
• Numerators in expansion of sqrt(1+x). Absolute values give numerators in expansion of sqrt(1-x).at n=17A002596
• Numerator of n!!/(n+3)!!.at n=31A004732
• 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=15A007595
• Triangle T(n,k)of numbers of asymmetric Boolean functions of n variables with exactly k = 0..2^n nonzero values (atoms) under action of complementing group C(n,2).at n=49A022619
• a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=31A028303
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=31A028304
• Numerators of coefficients of 1/2^(2n+1) in Newton's series for Pi.at n=18A054387
• Triangle of numbers of inequivalent Boolean functions of n variables with exactly k nonzero values (atoms) under action of complementing group.at n=51A054724
• a(n) = ((2n+1) + (2n-1) - 1)!/((2n+1)!*(2n-1)!).at n=8A065097
• Number of plane trees with n edges and having an odd number of leaves.at n=15A071684
• Number of plane trees with even number of leaves.at n=15A071688
• Numerators of even raw moments in the distribution of line lengths for lines picked at random in the unit disk.at n=15A093526
• Second column and subdiagonal of number triangle A098509.at n=16A098512
• Numerator of Catalan(n)/2^(2n+1). Also, numerators of (2n-1)!!/(n+1)!. Odd part of the n-th Catalan number.at n=16A098597
• Catalan numbers halved and rounded to the next integer.at n=16A130380
• Numerator of moments of Chebyshev U- (or S-) polynomials.at n=32A134828
• Even Catalan numbers divided by 2.at n=11A152671
• Largest proper divisor of the Catalan number A000108(n).at n=14A152766