A213872 - OEIS

%I #4 Jun 25 2012 14:19:33

%S 1,3628800,654729075,89575852312675,140633739174235040170,

%T 961415357313559098150122721,18131599140232990157442722880124741,

%U 725168149513389307543056971716033431701831,51960277212541922189750307005207837858451630919380

%N Number of words w where each letter of the 10-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) = 3628800: all permutations of 10 letters.

%Y Column k=10 of A213275.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Jun 23 2012