|
%I #7 Jul 19 2013 16:14:56
%S 1,3628800,126651310675680,5140671157605632743040,
%T 216245142312150285990621189096,9200010705455824278689045306643126144,
%U 392997779138060823651445903318712755280168960,16812841813975825541536765059695075768059296587720768
%N Number of lattice paths from {n}^10 to {0}^10 using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_10) we have abs(p_{i}-p_{i+1}) <= 1.
%H Alois P. Heinz, <a href="/A227672/b227672.txt">Table of n, a(n) for n = 0..50</a>
%e a(10) = 10! = 3628800.
%Y Column k=10 of A227655.
%Y Cf. A000142.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jul 19 2013
| 