cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A226883 Number of n-length words w over a 4-ary alphabet {a1,a2,...,a4} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a4) >= 1, where #(w,x) counts the letters x in word w.

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%I A226883 #13 Sep 26 2017 15:07:01
%S A226883 24,60,300,1260,6496,20916,95640,353760,1600104,5626764,23844002,
%T A226883 88442445,387629456,1389902524,5788974504,21752247660,93252286444,
%U A226883 340374221376,1409907258122,5335751835865,22620834658096,83728749708760,345377277971570,1315699675342065
%N A226883 Number of n-length words w over a 4-ary alphabet {a1,a2,...,a4} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a4) >= 1, where #(w,x) counts the letters x in word w.
%H A226883 Alois P. Heinz, <a href="/A226883/b226883.txt">Table of n, a(n) for n = 4..1000</a>
%t A226883 Table[Sum[n!/Product[IntegerPartitions[n,{4}][[k,j]]!,{j,1,4}],{k,1,Length[ IntegerPartitions[n,{4}]]}],{n,4,20}] (* _Vaclav Kotesovec_, Jul 01 2013 *)
%Y A226883 Column k=4 of A226874.
%K A226883 nonn
%O A226883 4,1
%A A226883 _Alois P. Heinz_, Jun 21 2013