\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Background}{}% 2
\BOOKMARK [1][-]{section.3}{Special case of Generating function for paths in a cube}{}% 3
\BOOKMARK [2][-]{subsection.3.1}{Counting paths that never go below the horizontal plane}{section.3}% 4
\BOOKMARK [2][-]{subsection.3.2}{Riordan arrays for paths in three-dimensional space}{section.3}% 5
\BOOKMARK [3][-]{subsubsection.3.2.1}{A short background about Riordan arrays}{subsection.3.2}% 6
\BOOKMARK [3][-]{subsubsection.3.2.2}{A Riordan array from heights of paths}{subsection.3.2}% 7
\BOOKMARK [3][-]{subsubsection.3.2.3}{The inverse matrix of the Riordan array}{subsection.3.2}% 8
\BOOKMARK [3][-]{subsubsection.3.2.4}{Fractals from the Riordan arrays}{subsection.3.2}% 9
\BOOKMARK [2][-]{subsection.3.3}{Counting paths in three-dimensional cube}{section.3}% 10
\BOOKMARK [1][-]{section.4}{Generating functions for paths in the n-space}{}% 11
\BOOKMARK [1][-]{section.5}{A relation with the k-colored Motzkin paths}{}% 12
\BOOKMARK [1][-]{section.6}{Tables and sequences from experimentation}{}% 13
\BOOKMARK [1][-]{section.7}{Acknowledgments}{}% 14