\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