1093092domain: NAppears in sequencesa(n) = (n+1)*(n+2)^3*(n+3)^2*(n+4)*(3n+5)/1440.at n=10A107968Number of permutations of [n] in which the length of every increasing run is 0 or 1 (mod 6).at n=14A322262a(n) = Sum_{k = 1..n} (-1)^(n+k) * k^3 * binomial(n,k)^2.at n=13A361719