92376

Appears in sequences

• a(n) = binomial(n, [n/2]) - 2.at n=19A201686
• Number of all polyhedra (tetrahedra of any orientation and octahedra) of any size, formed when intersecting a regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.at n=31A216175
• T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0.at n=37A222345
• Number of (n+2) X 1 arrays of occupancy after each element moves up to +-n places including 0.at n=7A222346
• Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDDUUUUDUDDDDUDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/9)), read by rows.at n=29A243838
• G.f.: Sum_{k>=1} x^(2*k)/(1+x^(2*k)) * Product_{k>=1} (1+x^k)/(1-x^k).at n=29A305122