1037836800

Appears in sequences

• a(n) = n!/6.at n=10A001715
• Expansion of e.g.f. 1 - x - sqrt(1-4*x).at n=9A052718
• Number of labeled cyclic groups with a fixed identity.at n=13A058161
• Number of labeled Abelian groups with a fixed identity.at n=13A058162
• a(n) = n! / {product of factorials of the digits of n}.at n=13A061603
• Fourth (unsigned) column sequence of coefficient triangle A062137 of generalized Laguerre polynomials n!*L(n,3,x).at n=7A062142
• a(n) = n!/A000793(n).at n=14A074115
• Number of elements of S_n having the maximum possible order g(n), where g(n) is Landau's function (A000793).at n=14A074859
• Number of transitive PSL_2(ZZ) actions on a finite labeled set of size n.at n=10A121355
• Degree of Lagrange resolvent of polynomial of composite degree.at n=7A137150
• a(n) = A058162(n) / A000688(n).at n=13A138286
• a(n) = 2*(2*n)!/n!.at n=8A151817
• Factorial of primes divided by prime numbers' respective places in the sequence of primes.at n=5A157132
• If S is countable finite set, we can define n as number of elements in S. There are n^n distinct functions f(S)->S. Each function has a fixed point, or an orbit in S. This sequence is a number of distinct functions g(S)->S, with largest orbit.at n=14A162682
• Number of 8-ary heaps on n elements.at n=14A273695
• Solution of the complementary equation a(n) = a(n-1)*b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=11A294381
• a(n) is the reciprocal of the coefficient of x^n in the power series defined by ((1+2x)*exp(x) + 3*exp(-x) - 4)/ (4x^2).at n=11A322544
• a(n) = Sum_{k = 0..n} E1(n, k)*k^2, where E1 are the Eulerian numbers A173018.at n=11A344054
• Expansion of e.g.f. exp( x * (exp(x^4) - 1) ).at n=13A357968
• Triangle read by rows, T(n, k) = (-1)^k * RisingFactorial(n, k) * FallingFactorial(k - n, k).at n=50A362787