58786

Appears in sequences

• Symmetrical dissections of an n-gon.at n=20A000063
• Catalan numbers with odd index: a(n) = binomial(4*n+2, 2*n+1)/(2*n+2).at n=5A024492
• a(n) = T(n, floor(n/2)), where T = Catalan triangle (A008315).at n=20A026008
• a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=22A028303
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=22A028304
• Catalan's triangle with right border removed (n > 0, 0 <= k < n).at n=65A030237
• Number of aperiodic necklaces of n beads of 2 colors, 11 of them black.at n=11A032169
• Number of necklaces with 11 black beads and n-11 white beads.at n=12A032196
• Number of necklaces with 12 black beads and n-12 white beads.at n=11A032197
• Triangle read by rows giving number of ways to glue sides of a 2n-gon so as to produce a surface of genus g.at n=36A035309
• Rectangular array of numbers a(n,k) = number of permutations of n things with longest increasing subsequence of length <= k (1 <= k <= oo), read by antidiagonals.at n=67A047888
• Triangle read by rows giving partial row sums of triangle A033184(n,m), n >= m >= 1 (Catalan triangle).at n=55A054445
• GCD of consecutive central binomial coefficients: a(n) = gcd(A001405(n+1), A001405(n)).at n=22A057977
• Smallest number of crossing-free matchings on n points in the plane.at n=21A063549
• G.f.: A(x) = (x-2*x^2-2*x^3-(1+x)*sqrt(1-4*x^2)+sqrt(1-4*x^6))/(2*x^2).at n=21A063786
• Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=55A067345
• Irregular triangle of the Fibonacci polynomials of A011973 multiplied diagonally by the Catalan numbers.at n=41A068763
• Triangle of C(n+1,k)*C(2*n-3*k,n-3*k)/(n+1) by rows.at n=26A073187
• Quotient C[p(n),{p(n)+-1}/2]/p(n), where p(n)=n-th prime.at n=7A075891
• Array A(x,y) giving the position of the y-th x in A007001 listed by rising antidiagonals.at n=55A085180