386308

Appears in sequences

• a(n) = Sum_{i=0..floor(n/2)} T(i,n-i), array T as in A047072.at n=22A047074
• a(n) = (-1)^n*(2*n - 1)*CatalanNumber(n - 2) for n >= 2, a(n) = n for n = 0, 1.at n=12A078718
• Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089851/A089853.at n=13A089847
• Number of peaks in all Dyck n-paths after changing each valley to a peak by the transform DU -> UD.at n=11A216318
• G.f. satisfies A(x) = 1 + x*A(x)^2 + x^3*A(x)^5.at n=11A216490