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%I
%S 1,362880,34459425,1035588754375,256653852463806955,
%T 224909472938181653263446,468682891926540940991787213006,
%U 1850042480471503379038420801262526759,11963401430840044468894095677711389363239184,114752550881830601773639529476205016572641397025904
%N Number of words w where each letter of the 9-ary alphabet occurs n times and for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.
%e a(0) = 1: the empty word.
%e a(1) = 362880: all permutations of 9 letters.
%Y Column k=9 of A213275.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jun 23 2012
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