\begingroup

   \input{T3Def.tex}

   \begin{NiceTabular}{|wl{\ColOne}|wl{\ColTwo}|wl{\ColThree}|wl{\ColFour}|wl{\ColFive}|}\hline
      %Line 1: Global title
      \Block[c]{1-5}{\titleTable}&&&&\\\hline
      %Line 2: few mathematical constant
      \Block[c]{1-5}{%
           \deflength{\MathContentSize}{\ColOne+\ColTwo+\ColThree+\ColFour+\ColFive-8\tabcolsep}%
           \TThreeConstants{\MathContentSize}} & & & & \\\hline
      %Line 3: Title of the five columns
      \Block[c]{1-1}{$i$} & 
      \Block[c]{1-1}{$2^i$}  &
      \Block[c]{1-1}{$p_i$}  &
      \Block[c]{1-1}{General}  &
      \Block[c]{1-1}{Probability cont.} \\\hline
      %Line 4: The list of numbers (i, power 2, prime), the general formulae, 
      %and first part prob.
      \Block[c]{\value{TThreeNumbersPart}-1}{%
                \deflength{\MathContentSize}{\ColOne-2\tabcolsep}%
                \TThreeSeqNb{\MathContentSize}}&
      \Block[c]{\value{TThreeNumbersPart}-1}{%
                \deflength{\MathContentSize}{\ColTwo-2\tabcolsep}%
                \TThreePowerTwo{\MathContentSize}} &
      \Block[c]{\value{TThreeNumbersPart}-1}{%
                \deflength{\MathContentSize}{\ColThree-1\tabcolsep}%
                \TThreeFirstPrimes{\MathContentSize}} &
      \Block[c]{\value{TThreeGeneralPart}-1}{%
                \deflength{\MathContentSize}{\ColFour-2\tabcolsep}%
                \TThreeGeneral{\MathContentSize}} &
      \Block[c]{\value{TThreeProbBPart}-1}{%
                \deflength{\MathContentSize}{\ColFive-1\tabcolsep}%
                \vspace{\TThreeMoveProbA}%
                \TThreeProb{\MathContentSize}}\\
      \BiggestNbLines{\value{TThreeNumbersPart}}
                     {\value{TThreeGeneralPart}}
                     {\value{TThreeProbBPart}}
      \AddBlankLines{\value{NbBlankLines}-2}{\TThreeEmptyLine}\\\cline{1-4}
      %Line 5 the intermediary title
      \Block[c]{1-3}{Pascal's Triangle} &&&\Block[c]{1-1}{Probability}&\\\cline{1-4}
      %Line 6 the triangle of pascal and some text on probability.
      \Block[c]{\value{TThreePascalPart}-3}{%
                \deflength{\MathContentSize}{\ColOne+\ColTwo+\ColThree-2\tabcolsep}%
                \TThreePascal{\MathContentSize}}& & &
      \Block[c]{\value{TThreeProbAPart}-1}{%
                \vspace*{\TThreeMoveProbB}%
                \deflength{\MathContentSize}{\ColFour-2\tabcolsep}%
                \TThreeProbTwo{\MathContentSize}} & \\
      \BiggestNbLines{\value{TThreePascalPart}}
                     {\value{TThreeProbAPart}}
                     {0}
      \AddBlankLines{\value{NbBlankLines}-2}{\TThreeEmptyLine}\\\hline
   \end{NiceTabular}
\endgroup