2976768

Appears in sequences

• Array by antidiagonals: Number of planar lattice walks of length 3n+2k starting at (0,0) and ending at (k,0), remaining in the first quadrant and using only NE,W,S steps.at n=33A098273
• Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the Motzkin lattice paths with weights of A003645.at n=47A201639
• Number of (n+2) X 6 binary arrays avoiding patterns 001 and 101 in rows and columns.at n=13A202198
• a(n) = 2*n*A259319(n) - A259110(n)^2.at n=8A259320
• Maximum number of copies of a 123456 permutation pattern in an alternating (or zig-zag) permutation of length n + 9.at n=31A339356