19958400
domain: N
Appears in sequences
- Order of alternating group A_n, or number of even permutations of n letters.at n=11A001710
- a(n) = n!/24.at n=8A001720
- a(n) = n!*Fibonacci(n+1).at n=9A005442
- A triangle related to A000045 (Fibonacci numbers).at n=45A039948
- A triangle of numbers related to triangle A030526.at n=36A049353
- Generalized Stirling number triangle of first kind.at n=36A049460
- If n = p_1^a_1 * p_2^a_2 * p_3^a_3 * ..., where p_k is the k-th prime and the a's are nonnegative integers, then a(n) = n!/product_{k >= 1} [(p_k)!^a_k].at n=12A056218
- Number of 3-connected claw-free cubic graphs with 6n nodes.at n=2A058930
- Number of 3-connected claw-free cubic graphs with 2n nodes.at n=5A058931
- Number of degree-n permutations of order exactly 24.at n=11A061127
- Coefficient triangle of generalized Laguerre polynomials n!*L(n,4,x) (rising powers of x).at n=36A062140
- a(n) = n! / d(n), where d(n) is the number of divisors of n.at n=10A062358
- Numbers having more than one representation as the product of consecutive integers > 1.at n=6A064224
- a(n) = (3*n)!/n!.at n=4A064350
- Square array read by descending antidiagonals of number of ways of dividing n*k labeled items into k unlabeled orders with n items in each order.at n=17A066991
- Reduced root factorial of n: product of the smallest integer root of numbers from 1 to n.at n=12A068625
- Order of the subgroup of the symmetric group S_n generated by the cycles (1,2,3) and (1,2,3,...,n).at n=8A070734
- Surface area of n-dimensional sphere of radius r is n*V_n*r^(n-1) = n*Pi^(n/2)*r^(n-1)/(n/2)! = S_n*Pi^floor(n/2)*r^(n-1); sequence gives denominator of S_n.at n=24A072479
- Erroneous version of A056218.at n=11A075080
- 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=20A075377