129644790

Appears in sequences

• Symmetrical dissections of an n-gon.at n=32A000063
• Catalan numbers with odd index: a(n) = binomial(4*n+2, 2*n+1)/(2*n+2).at n=8A024492
• a(n) = T(n, floor(n/2)), where T = Catalan triangle (A008315).at n=32A026008
• a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=34A028303
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=34A028304
• Largest squarefree number dividing n-th central binomial coefficient C(n,[ n/2 ]).at n=32A048633
• Largest squarefree number dividing n-th central binomial coefficient C(n,[ n/2 ]).at n=33A048633
• Maximum over k of the largest squarefree number dividing a value of binomial(n,k).at n=32A048681
• Squarefree part of the n-th central binomial coefficient.at n=32A056058
• GCD of consecutive central binomial coefficients: a(n) = gcd(A001405(n+1), A001405(n)).at n=34A057977
• Smallest number of crossing-free matchings on n points in the plane.at n=33A063549
• 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=33A063786
• Largest squarefree number dividing central binomial coefficient A000984(n).at n=17A080397
• Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864.at n=35A089408
• Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089851/A089853.at n=18A089848
• Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A069772.at n=35A089849
• Largest gcd of two distinct numbers on row n of Pascal's triangle.at n=31A092394
• a(1) = 1; a(n) = floor {(n+1)(n+2)(n+3)...(n+k)}/{(n-1)(n-2)(n-3)...(n-k)} for the least value of k.at n=17A092935
• Numerators of even raw moments in the distribution of line lengths for lines picked at random in the unit disk.at n=16A093526
• Expansion of 1 + 2x/(1 + sqrt(1 - 4x^2)).at n=35A097331