8821612800
domain: N
Appears in sequences
- a(n) = (2*n+1)! / n!.at n=8A000407
- a(n) = (3*n+4)*(n+3)!/24.at n=10A005460
- E.g.f. sin(x^2)/2, coefficients of x^(4*n + 2).at n=4A009564
- a(n) = (n+8)!/8!.at n=9A049389
- Expansion of e.g.f. (1-x)/(1-x-2*x^2+x^3).at n=11A052672
- Smallest number whose square is divisible by n!.at n=18A065887
- Triangle read by rows in which n-th row gives all values of n!/{(p!)^a*(q!)^b*(r!)^c*...} (in increasing order) for all factorizations n = p^a*q^b*r^c*....at n=33A075377
- a(n) = n! / floor(n/2)!.at n=17A081125
- 4th-order non-linear ("factorial") recursion: a(0)=a(1)=a(2)=a(3)=1, a(n) = (n+1)*a(n-4).at n=33A081407
- Ratio of volume of n-dimensional ball to circumscribing n-cube is Pi^floor(n/2) divided by a(n).at n=17A087299
- Least product n*(n-1)*(n-2)*...*(n-k+1) divisible by (n-k)!.at n=16A096123
- a(n) = product of n successive numbers up to n, if n is even a(n) = n*(n-1)*.. = n!, if n is odd a(n) = n(n+1)(n+2)... 'n' terms.at n=8A113549
- Triangle read by rows: T(n,k) = k!*binomial(n+k-1,k) (n >= 0, 0 <= k <= n), rising factorial power, Pochhammer symbol.at n=54A124320
- a(n) = prime(n)!/(n+1)!.at n=6A178614
- a(n) = 11^n-10*10^n+45*9^n-120*8^n+210*7^n-252*6^n+210*5^n-120*4^n+45*3^n-10*2^n+1.at n=12A228913
- a(n) = Pochhammer(n+1, n)/Clausen(n, 1) = A001813(n) / A160014(n, 1).at n=9A268432
- Triangle read by rows. A generalization of unsigned Lah numbers, called L[4,3].at n=36A292219
- Square array A(n,k), n >= 0, k >= 1, read by antidiagonals: A(n,k) = n! * [x^n] 1/(1 - k*x)^(n/k).at n=54A303489
- Triangle of derivatives of the Niven polynomials evaluated at 0.at n=53A303986
- a(n) = n! / (2 * floor(n/2)!).at n=16A355989