%% Created by Maple 8.00 (IBM INTEL NT)
%% Source Worksheet: Sw1.mws
%% Generated: Sun Dec 28 22:26:26 2003
\documentclass{article}
\usepackage{maple2e}
 \def\emptyline{\vspace{12pt}}
\DefineParaStyle{Maple Output}
\DefineParaStyle{Warning}
\DefineCharStyle{2D Math}
\DefineCharStyle{2D Output}
\begin{document}
\pagestyle{empty}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{matrix(7,7,(j,i)->Sw(ud,i-1,j-1));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{matrix([[0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0,
0, 0], [0, 1, 3, 1, 0, 0, 0], [0, 1, 7, 6, 1, 0, 0], [0, 1, 15, 25,
10, 1, 0], [0, 1, 31, 90, 65, 15, 1]]);}{%
\[
 \left[ 
{\begin{array}{rrrrrrr}
0 & 1 & 0 & 0 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 & 0 & 0 & 0 \\
0 & 1 & 1 & 0 & 0 & 0 & 0 \\
0 & 1 & 3 & 1 & 0 & 0 & 0 \\
0 & 1 & 7 & 6 & 1 & 0 & 0 \\
0 & 1 & 15 & 25 & 10 & 1 & 0 \\
0 & 1 & 31 & 90 & 65 & 15 & 1
\end{array}}
 \right] 
\]
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{matrix(7,7,(j,i)->Sw(udu,i-1,j-1));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{matrix([[1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0], [2, 4, 1, 0, 0,
0, 0], [6, 18, 9, 1, 0, 0, 0], [24, 96, 72, 16, 1, 0, 0], [120, 600,
600, 200, 25, 1, 0], [720, 4320, 5400, 2400, 450, 36, 1]]);}{%
\[
 \left[ 
{\begin{array}{rrrrrrr}
1 & 1 & 0 & 0 & 0 & 0 & 0 \\
1 & 1 & 0 & 0 & 0 & 0 & 0 \\
2 & 4 & 1 & 0 & 0 & 0 & 0 \\
6 & 18 & 9 & 1 & 0 & 0 & 0 \\
24 & 96 & 72 & 16 & 1 & 0 & 0 \\
120 & 600 & 600 & 200 & 25 & 1 & 0 \\
720 & 4320 & 5400 & 2400 & 450 & 36 & 1
\end{array}}
 \right] 
\]
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{NF(duu);NF(duuduu);}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{uud+2*u;}{%
\[
\mathit{uud} + 2\,u
\]
%
}
\end{maplelatex}

\begin{maplelatex}
\mapleinline{inert}{2d}{uuuudd+6*uuud+6*uu;}{%
\[
\mathit{uuuudd} + 6\,\mathit{uuud} + 6\,\mathit{uu}
\]
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{ matrix(7,7,(j,i)->Sw(duu,i-1,j-1));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{matrix([[2, 1, 0, 0, 0, 0, 0], [2, 1, 0, 0, 0, 0, 0], [6, 6, 1, 0, 0,
0, 0], [24, 36, 12, 1, 0, 0, 0], [120, 240, 120, 20, 1, 0, 0], [720,
1800, 1200, 300, 30, 1, 0], [5040, 15120, 12600, 4200, 630, 42,
1]]);}{%
\[
 \left[ 
{\begin{array}{rrrrrrr}
2 & 1 & 0 & 0 & 0 & 0 & 0 \\
2 & 1 & 0 & 0 & 0 & 0 & 0 \\
6 & 6 & 1 & 0 & 0 & 0 & 0 \\
24 & 36 & 12 & 1 & 0 & 0 & 0 \\
120 & 240 & 120 & 20 & 1 & 0 & 0 \\
720 & 1800 & 1200 & 300 & 30 & 1 & 0 \\
5040 & 15120 & 12600 & 4200 & 630 & 42 & 1
\end{array}}
 \right] 
\]
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{matrix(7,7,(j,i)->Sw(udduud,i-1,j-1));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplettyout}
Warning, computation interrupted
\end{maplettyout}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{1d}{M1:=Matrix(5,10,(j,i)->Sw(udduud,i,j));}{%
}
\end{mapleinput}

\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{M1 := Matrix(\%id = 3097980);}{%
\maplemultiline{
\mathit{M1} :=  \\
[2\,, \,4\,, \,1\,, \,0\,, \,0\,, \,0\,, \,0\,, \,0\,, \,0\,, \,0
] \\
[4\,, \,68\,, \,146\,, \,86\,, \,17\,, \,1\,, \,0\,, \,0\,, \,0\,
, \,0] \\
[8\,, \,856\,, \,6916\,, \,13988\,, \,10536\,, \,3508\,, \,549\,
, \,39\,, \,1\,, \,0] \\
[16\,, \,10352\,, \,269576\,, \,1431912\,, \,2650324\,, \,2189412
\,, \,920500\,, \,211192\,, \,27169\,,  \\
1931] \\
[32\,, \,124384\,, \,9953296\,, \,126517840\,, \,501297280\,, \,
845245040\,, \,719141748\,,  \\
341835980\,, \,96627730\,, \,16836986] }
%
}
\end{maplelatex}

\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\end{mapleinput}

\end{maplegroup}
\end{document}
%% End of Maple 8.00 Output









