27152

Appears in sequences

• Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention.at n=49A010028
• Triangle read by rows: T(n,k) = one-half number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. T(1,0) = 1 by convention.at n=50A086856
• Triangle, read by rows, equal to the matrix square of triangle A113389. Also given by the matrix product: R^2 = Q^3*(P^-2)*Q, using triangular matrices P=A113370, Q=A113381 and R=A113389.at n=24A113392
• Triangle, read by rows, given by the product R^-1*P^3 using triangular matrices P=A113370, R=A113389.at n=32A114153
• Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid.at n=18A190102
• Record values of A018799 (Smallest nonnegative integer m such that m! begins with n in base 10).at n=29A279089
• Positions of zeros in A345055, which is the Dirichlet inverse of A011772.at n=48A345053
• a(n) = Sum_{k>=1} (4*k - 2)^n / 2^k.at n=4A355219
• Number of Dyck paths of semilength n with strongly unimodal peak heights such that neighboring peaks differ in height by exactly one and first and last peak are at height one.at n=28A371926