31830
domain: N
Appears in sequences
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 1, 0), (0, 1, -1), (1, 0, 1)}.at n=9A149327
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 1), (0, -1), (1, 0), (1, 1)}.at n=11A151415
- Number of permutations of 4 copies of 1..n avoiding adjacent step pattern up, down, down, up, down.at n=2A177649
- Figurate numbers based on the small stellated dodecahedron: a(n) = n*(21*n^2 - 33*n + 14)/2.at n=14A318159
- G.f. satisfies A(x) = B(x) + 5*A(x)^2 where B(A(x) - A(x)^2) = x.at n=5A378258