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Number of words w where each letter of the n-ary alphabet occurs 5 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.
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%I #4 Jun 24 2012 12:57:48

%S 1,1,56,13326,7364321,7236515981,10915151070941,23060727168393236,

%T 64157120593526429971,224909472938181653263446,

%U 961415357313559098150122721,4886376056824611061263607492146,28944590736206982153001156958037271,196631118571992127875305845382720388771

%N Number of words w where each letter of the n-ary alphabet occurs 5 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: aaaaa.

%e a(2) = 56: aaaaabbbbb, aaaababbbb, ..., baababaabb, baabababab.

%Y Row n=5 of A213275.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Jun 23 2012