415701

Appears in sequences

• a(1)=1; for n >= 1, a(n+1) = lcm(a(n),n) / gcd(a(n),n).at n=20A008339
• Odd numbers to the right of the central elements of the (1,2)-Pascal triangle A029635.at n=51A029650
• a(n) = binomial(n+6,6)*(2n+7)/7.at n=16A050486
• a(1) = 1, a(n) = lcm(n, a(n-1)) / gcd(n, a(n-1)).at n=19A077139
• Number of elementary arches of size n.at n=7A085614
• Numerators of odd raw moments in the distribution of a triangle picked at random from points on the circumference of a unit circle.at n=3A093583
• a(n) = binomial(n+2,2) * binomial(n+7,2).at n=32A104676
• A113551(n)/A006882(n).at n=6A128811
• Triangle read by rows: T(n,k) (n >= 2, k >= 1) is the number of non-crossing connected graphs on n nodes on a circle such that the distance from a fixed node (root) to the next node is k. Rows are indexed 2,3,4,...; columns are indexed 1,2,3, ... .at n=28A143018
• Convolution square of A058187, the tetrahedral series with repeats.at n=32A178440
• Expansion of Sum_{1<=i<=j<=k<=l} q^(i+j+k+l)/( (1-q^i)*(1-q^j)*(1-q^k)*(1-q^l) )^2.at n=16A374931
• Expansion of (1 - 3*x + 6*x^2 - 4*x^3)/(1 - 2*x - 3*x^2)^(9/2).at n=8A375259
• a(n) = Sum_{k=0..floor(n/2)} binomial(k+3,4*n-8*k+3).at n=41A390040