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A226877 Number of n-length words w over a 7-ary alphabet {a1,a2,...,a7} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a7) >= 0, where #(w,x) counts the letters x in word w.

%I A226877 #15 Sep 21 2017 11:31:44
%S A226877 1,1,3,10,47,246,1602,11481,55183,326710,1924358,11843151,76569242,
%T A226877 494393147,3419744681,20455085475,133157018303,860006815622,
%U A226877 5660947113750,37583646117555,249434965500622,1713067949756985,11030202759647591,73747039462964885
%N A226877 Number of n-length words w over a 7-ary alphabet {a1,a2,...,a7} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a7) >= 0, where #(w,x) counts the letters x in word w.
%H A226877 Alois P. Heinz, <a href="/A226877/b226877.txt">Table of n, a(n) for n = 0..1000</a>
%p A226877 b:= proc(n, i, t) option remember;
%p A226877       `if`(t=1, 1/n!, add(b(n-j, j, t-1)/j!, j=i..n/t))
%p A226877     end:
%p A226877 a:= n-> n!*b(n, 0, 7):
%p A226877 seq(a(n), n=0..30);
%Y A226877 Column k=7 of A226873.
%K A226877 nonn
%O A226877 0,3
%A A226877 _Alois P. Heinz_, Jun 21 2013