3816548

Appears in sequences

• Expansion of e.g.f. (2 - e^x)^(-2).at n=8A005649
• Triangular array read by rows: a(n, k) = sum of number of ordered factorizations of all prime signatures with n total prime factors and k distinct prime factors.at n=43A095705
• Triangular array read by rows: a(n, k) = number of ordered factorizations of a "hook-type" number with n total prime factors and k distinct prime factors. "Hook-type" means that only one prime can have multiplicity > 1.at n=43A098348
• a(n) is the number of ordered partitions of {1,1,2,3,...,n-1}.at n=8A172109
• Array read by antidiagonals: T(n,k) = number of barred preferential arrangements of k things with n bars (k >=0, n >= 0).at n=53A226513
• Number of achiral loops (necklaces or bracelets) of length n with integer entries that cover an initial interval of positive integers.at n=16A327868
• Triangle read by rows where T(n,k) is the number of patterns of length n with k runs.at n=54A335461
• Triangle read by rows where T(n,k) is the number of length-n sequences covering an initial interval of positive integers with k maximal anti-runs.at n=46A337506
• Array read by downward antidiagonals: A(n,k) = Sum_{i=0..n-1} Sum_{j=0..k+1} binomial(n-1,i)*binomial(k+1,j)*A(i,j) with A(0,k) = 1, n >= 0, k >= 0.at n=44A383410