352800

Appears in sequences

• Number of walks on square lattice.at n=31A005565
• E.g.f. (1-2x)/(1-2x-x^2).at n=7A052580
• E.g.f. x*(1-x)/(1-2*x-x^2+x^3).at n=7A052640
• Triangle read by rows. T(n, k) = Sum_{i=0..n} Stirling2(n, i)*Product_{j=1..k} (i - j + 1) for 0 <= k <= n.at n=42A059098
• Fifth column sequence of triangle A062139 (generalized a=2 Laguerre).at n=4A062194
• a(n) = (2*n)!*binomial(2*n,n)/8.at n=2A072477
• Generalized Stirling2 array (4,2).at n=20A090438
• Triangle read by rows: T(n,k) = number of functions from [1,2,...,n] to [1,2,...,n] such that the image contains exactly k elements (0<=k<=n).at n=33A090657
• Fifth column (k=6) of array A090438 ((4,2)-Stirling2).at n=2A091035
• Minimal numbers having in canonical prime factorization at least one factor p^e such that e+1 is not prime, p prime and e>0.at n=15A099317
• Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n} such that |Image(f)|=h; h=1,2,...,n, n=1,2,3,... . Essentially A090657, but without zeros.at n=25A101817
• a(n) is the smallest number representable in exactly n ways as a sum of 2 powerful(1) numbers.at n=28A115354
• Terms in A005179 where prime signature differs from that of corresponding term in A038547.at n=11A122813
• Smallest number m having exactly n divisors d with sqrt(m/2) <= d < sqrt(2*m).at n=17A128605
• Numbers k meeting the following criterion: if k is a multiple of d, then it is also a multiple of the smallest number with same number of divisors as d.at n=22A134865
• Triangular sequence of coefficients from the Laplace transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] =Zeta[2,1+1/t-x] -> shifted to Zeta[3,1+1/t-x].at n=27A137497
• A triangular sequence of coefficients from a Laplace Transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[5,1+1/t-x].at n=16A137498
• A triangular sequence of coefficients from a Laplace Transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[5,1+1/t-x].at n=18A137498
• a(n) = n*(3*n-1)*n!/2.at n=6A138782
• Subsequence of elements of A005179 that appear in A134865.at n=21A140753