1188640

Appears in sequences

• Fourth convolution of Catalan numbers: a(n) = 4*binomial(2*n+3,n)/(n+4).at n=11A002057
• Inverse binomial transform of Thue-Morse sequence A001285.at n=23A029880
• An inverse Chebyshev transform of x^3.at n=12A099376
• Triangle read by rows: T(n,k) is number of hill-free Dyck paths of semilength n and having k returns to the x-axis. (A Dyck path is said to be hill-free if it has no peaks at level 1.)at n=51A114494
• Number of 4Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=11A279711
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=24A368378