%I #4 Jun 24 2012 12:58:28
%S 1,1,21658,15456538890,84386541996407430,1831976833971352074708780,
%T 109898940874611419792791074271620,
%U 14506158303190746913523011613729321067580,3612014977093890544877702499165438785779326595871,1520262998870097218529031803141231246364682853428845871416
%N Number of words w where each letter of the n-ary alphabet occurs 10 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: aaaaaaaaaa.
%e a(2) = 21658: aaaaaaaaaabbbbbbbbbb, aaaaaaaaababbbbbbbbb, ..., baabababababababaabb, baababababababababab.
%Y Row n=10 of A213275.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jun 23 2012