115500

Appears in sequences

• Number of nonseparable tree-rooted planar maps with n + 3 edges and 4 vertices.at n=6A006412
• Related to quintic factorial numbers A008548.at n=4A034687
• A convolution triangle of numbers obtained from A034687.at n=10A049375
• Denominators (numerators are all 1) of the series: 1/1^2, (1/1^2)*(1/(1^2+2^2)), (1/1^2)*(1/(1^2+2^2))*(1/(1^2+2^2+3^2)), ...at n=5A135438
• Array T(n,m) = 2*(2m+3)!*(4n+2m+1)!/(m!*(m+2)!*n!*(3n+2m+3)!) read by antidiagonals.at n=40A146305
• Numbers with exactly 5 distinct prime divisors {2,3,5,7,11}.at n=34A147572
• a(n) = (1/n) * [x^n] 1/(1 - n^2*x)^(1/n), where [x^n] F(x) denotes the coefficient of x^n in F(x).at n=4A195010
• a(n) = 25*(n + 1)*(4*n + 3)*(5*n + 4)/3.at n=8A300254
• a(n) = Product_{d|n, d<n} A019565(d)^[1 == d mod 3].at n=55A319991
• a(n) = Product_{d|n, d<n} A019565(d)^[1 == d mod 3].at n=83A319991
• a(n) = Product_{d|n} A019565(phi(d)), where phi is Euler totient function A000010.at n=39A332824
• Triangle read by rows: T(n,k) is the number of nonseparable tree-rooted planar maps with n edges and k faces, n >= 0, k = 1..n+1.at n=58A342984
• Triangle read by rows: T(n,k) is the number of nonseparable tree-rooted planar maps with n edges and k faces, n >= 0, k = 1..n+1.at n=62A342984
• Expansion of e.g.f. 1/(1 - (x * (exp(x) - 1))^4 / 576).at n=11A353885
• Expansion of e.g.f. exp( (x * (exp(x) - 1))^4 / 576 ).at n=11A353896
• a(n) = (n + 1/3) * (3*n + 3)! / ((n + 1)!)^3.at n=3A360607
• a(n) = K(4,n), where K(M,n) = 2*(2*M+3)!*(4*n+2*M+1)!/((M+2)!*M!*n!*(3*n+2*M+3)!).at n=4A362103