685440

Appears in sequences

• Infinitary sociable numbers (smallest member of cycle).at n=10A004607
• a(n) = (2n+1)*n!.at n=8A007680
• Expansion of e.g.f. (2-x-2*x^2)/((1-x)*(1-2*x^2)).at n=8A052636
• Distribution of maximum inversion table entry.at n=53A056151
• n!*(3*n^2-13*n+14)/6.at n=6A108033
• A Moessner triangle using (1, 3, 5, ...).at n=36A125750
• k-imperfect numbers for some k >= 1.at n=18A127724
• 3-imperfect numbers.at n=10A127726
• Triangle read by rows: T(n,k) = number of permutations p of [n] such that max(|p(i)-i|)=k (n>=1, 0<=k<=n-1).at n=54A130152
• Triangle T(n,k) = binomial(2*n-k, k)*(n-k)!, read by rows.at n=46A155856
• Triangle T(n, k) = binomial(n+k, 2*k)*k!, read by rows.at n=53A156367
• Triangle T(n, k) = (2*n+1)!! * 2^(1 + floor(n/2) + floor(k/2) + floor((k-1)/2)) * Beta(floor(n/2) + floor((k-1)/2) + 2, floor((n-1)/2) + floor(k/2) + 2), read by rows.at n=33A158867
• Triangle T(n, k) = (2*n+1)!! * 2^(1 + floor(n/2) + floor(k/2) + floor((k-1)/2)) * Beta(floor(n/2) + floor((k-1)/2) + 2, floor((n-1)/2) + floor(k/2) + 2), read by rows.at n=34A158867
• Triangle of F(n,r) of r-geometric numbers, 1 <= r <= n.at n=43A219374
• Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments.at n=30A249247
• Triangle read by rows (1<=k<=n): T(n,k) = (n-k+1)*k! - (k-1)!at n=53A288778
• Number of permutations p of [n] such that max_{j=1..n} |p(j)-j| = 9.at n=1A323805
• Total number of points in all permutations of [n] that are fixed or reflected.at n=9A335873
• T(n, k) = ((2*n + 1)/2)*Sum_{j, k, n} (-1)^(k + j)*(n + j)*binomial(2*n, n - j)* Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.at n=38A342312
• Expansion of e.g.f. (1 - x)^(-x^2/2).at n=10A351492