Number of lattice paths from {n}^6 to {0}^6 using steps that decrement one component such that for each point (p_1,p_2,...,p_6) we have p_1<=p_2<=...<=p_6.

A227597

Number of lattice paths from {n}^6 to {0}^6 using steps that decrement one component such that for each point (p_1,p_2,...,p_6) we have p_1<=p_2<=...<=p_6.