64822395

Appears in sequences

• a(n) = floor( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=33A028303
• a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers).at n=33A028304
• Squarefree part of n!: n! divided by its largest square divisor.at n=33A055204
• Squarefree part of the n-th central binomial coefficient.at n=33A056058
• Squarefree part of C(2n,n), the central binomial numbers: the smallest number such that a(n)*C(2n,n) is a square.at n=17A069113
• a(n) is the smallest integer of the form a*b*c.../p*q*r..., where the numerator and the denominator contain n numbers each and a,b,c,...p,q,r... are all the integers from 1 to 2n.at n=16A085057
• Numerator of Catalan(n)/2^(2n+1). Also, numerators of (2n-1)!!/(n+1)!. Odd part of the n-th Catalan number.at n=17A098597
• Divide n! repeatedly by i! for i from floor(n/2) down through 2; a(n) = remaining quotient.at n=34A111866
• Catalan numbers halved and rounded to the next integer.at n=17A130380
• Numerator of moments of Chebyshev U- (or S-) polynomials.at n=34A134828
• Even Catalan numbers divided by 2.at n=12A152671
• Largest proper divisor of the Catalan number A000108(n).at n=15A152766
• Catalan trisection: A000108(3*n + 2)/2, n>=0.at n=5A187359
• n!/pp, where pp is the largest perfect power (A001597) which divides n!.at n=34A251753
• a(n) is the least term in the n-th row of A360298.at n=33A360300