49721

Appears in sequences

• Number of directed animals of size n (or directed n-ominoes in standard position).at n=12A005773
• E.g.f.: A(x) = exp(x*exp(2*x*exp(3*x*exp(...exp(n*x*exp(...))...)))), for n>=1.at n=5A096537
• Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k DUUU's.at n=27A135308
• Transform of C(n+1,floor((n+1)/2)) by A178112.at n=22A178113
• a(n) = prime(n+2)^3 - prime(n+1)^2 + prime(n).at n=9A261464
• Number of valid hook configurations of permutations of [n] that avoid the patterns 231 and 1243.at n=13A307789