57657600

Appears in sequences

• a(n) = (2*n)!/(n+1)!.at n=8A001761
• Triangle of coefficients of certain Sheffer-polynomials.at n=36A048870
• a(n) = (n+9)!/9!.at n=7A049398
• Triangle of numbers used for basis change between certain falling factorials.at n=35A089503
• a(n) = Product_{j=1..n} (prime(n)-j).at n=6A090114
• Product of the numbers from (n-1)^2+1 to n^2.at n=3A091777
• a(n) = (n+1)(n+2)...(n+prime(k)) where prime(k) <= n < prime(k+1).at n=7A110423
• Products of 7 consecutive integers.at n=16A159083
• Array t(n,m)=(n*m)!/(n + m - 1)! read by antidiagonals.at n=37A177939
• Bi-unitary multiperfect numbers.at n=23A189000
• Number T(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=44A255982
• Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=44A256061
• Number of partitions of the 8-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once.at n=0A258422
• Number of permutations of [n] beginning with at least floor(n/2) ascents.at n=16A262033
• Number of permutations of [n] beginning with at least ceiling(n/2) ascents.at n=16A262034
• Triangle read by rows: coefficients in the sum of odd powers as expressed by Faulhaber's theorem, T(n, k) for n >= 1, 1 <= k <= n.at n=24A303675
• Positions of records in A306440.at n=29A307221
• T(n,k) = (-1)^n*(binomial(2*k,k)/(k+1))*Sum_{j=0..n} (-1)^j*binomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.at n=44A335748
• Triangle read by rows. T(n, k) = ((2*n)! * k!) / (n + k)!.at n=37A357013
• Expansion of e.g.f. exp(x^4/24 * sinh(x)).at n=16A387019