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%I #4 Jun 24 2012 12:57:50
%S 1,1,174,188196,586368681,3745777177366,40684710729862072,
%T 668821362774214965294,15388200323143520006870562,
%U 468682891926540940991787213006,18131599140232990157442722880124741,863168115684925396146477660939182979547
%N Number of words w where each letter of the n-ary alphabet occurs 6 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) = 1: aaaaaa.
%e a(2) = 174: aaaaaabbbbbb, aaaaababbbbb, ..., baabababaabb, baababababab.
%Y Row n=6 of A213275.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jun 23 2012
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