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A227672 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.

%I A227672 #7 Jul 19 2013 16:14:56
%S A227672 1,3628800,126651310675680,5140671157605632743040,
%T A227672 216245142312150285990621189096,9200010705455824278689045306643126144,
%U A227672 392997779138060823651445903318712755280168960,16812841813975825541536765059695075768059296587720768
%N A227672 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 A227672 Alois P. Heinz, <a href="/A227672/b227672.txt">Table of n, a(n) for n = 0..50</a>
%e A227672 a(10) = 10! = 3628800.
%Y A227672 Column k=10 of A227655.
%Y A227672 Cf. A000142.
%K A227672 nonn
%O A227672 0,2
%A A227672 _Alois P. Heinz_, Jul 19 2013