70560

Appears in sequences

• a(n) = 2*n*n!.at n=7A052582
• Expansion of e.g.f. x*(1-2*x)*(1 - 2*x - sqrt(1-4*x))/2 - x^3.at n=7A052721
• E.g.f.: (1-2x-sqrt(1-4*x))*x^2/2.at n=7A052732
• E.g.f.: x^2*(1-sqrt(1-4*x))/2.at n=7A052733
• Expansion of e.g.f.: -x^3*(log(1-x))^3.at n=8A052786
• A triangle related to rooted trees.at n=34A060694
• Factorial splitting: write n! = x*y*z with x<y<z and x maximal; sequence gives value of x.at n=14A061030
• Triangle T(n,k), n >= 2, n+1 <= k <= 2*n-1, number of permutations p of 1,...,n, with max(p(i)+p(i-1), i=2..n) = k.at n=34A064484
• Replace all prime factors p of n with n-p.at n=44A072194
• Fourth column (k=5) of array A090438 ((4,2)-Stirling2) divided by 24.at n=2A091034
• Table (by antidiagonals) of permutations of two types of objects such that each cycle contains at least one object of each type. Each type of object is labeled from its own label set.at n=29A091441
• Table (by antidiagonals) of permutations of two types of objects such that each cycle contains at least one object of each type. Each type of object is labeled from its own label set.at n=34A091441
• a(0) = 1, a(n) = 20*sigma[3](n).at n=15A091983
• A001263 * A127773.at n=51A132819
• A triangular sequence from coefficients of an expansion of the Poisson's kernel: p(t,r)=(1-r^2)/(1-2*r*Cos(t)+r^2): r->t;Cos(t)->x.at n=29A137511
• A triangular sequence based on expansion of the rational polynomial of A023054 as a Sheffer sequence: p(x,t)=Exp[x*t]*(1 - t^5)/((1 - t)*(1 - t^2)^2*(1 - t^3)).at n=28A138186
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} such that there are exactly k entries between the entries 1 and 2 (n>=2, 0<=k<=n-2).at n=29A138770
• Triangle T(n, k) = ( (k+2)/(2*binomial(k+2, 2)^2) )*binomial(n, k)^2*binomial(n+1, k)*binomial(n+2, k), read by rows.at n=42A142470
• Triangle T(n, k) = ( (k+2)/(2*binomial(k+2, 2)^2) )*binomial(n, k)^2*binomial(n+1, k)*binomial(n+2, k), read by rows.at n=38A142470
• Partition number array, called M31(3), related to A046089(n,m)= |S1(3;n,m)| (generalized Stirling triangle).at n=49A144353