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A227600 Number of lattice paths from {n}^9 to {0}^9 using steps that decrement one component such that for each point (p_1,p_2,...,p_9) we have p_1<=p_2<=...<=p_9.

%I A227600 #5 Nov 27 2016 02:32:44
%S A227600 1,1,16796,3868253164,4353511908566248,14071120934043157192832,
%T A227600 97106818062816381529413045436,1190606938488172095512348078940830464,
%U A227600 22939433009552344381207995985855864376139032,637028433009539403532335279417025047587902906655768
%N A227600 Number of lattice paths from {n}^9 to {0}^9 using steps that decrement one component such that for each point (p_1,p_2,...,p_9) we have p_1<=p_2<=...<=p_9.
%H A227600 Vaclav Kotesovec, <a href="/A227600/b227600.txt">Table of n, a(n) for n = 0..30</a>
%p A227600 b:= proc(l) option remember; `if`(l[-1]=0, 1, add(add(b(subsop(
%p A227600       i=j, l)), j=`if`(i=1, 0, l[i-1])..l[i]-1), i=1..nops(l)))
%p A227600     end:
%p A227600 a:= n-> `if`(n=0, 1, b([n$9])):
%p A227600 seq(a(n), n=0..10);
%Y A227600 Column k=9 of A227578.
%K A227600 nonn
%O A227600 0,3
%A A227600 _Alois P. Heinz_, Jul 17 2013