45414

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, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 0)}.at n=11A148115
• Number of ways to arrange 4 indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.at n=7A194132
• T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle.at n=62A194136
• Expansion of exp( Sum_{n >= 1} A210676(n)*x^n/n ).at n=4A255926
• Sum of all distinct multiplicities in the partitions of 2n into n parts.at n=25A373104
• a(n) = Sum_{k=0..n} 2^(n-k) * binomial(2*n+1,k) * binomial(2*n-k-1,n-k).at n=5A386862