%% auteur : %% gh %% Triangle de Pascal %% échelle et étendue de l'image 60 setxunit -.5 7.5 setxrange -.5 7.5 setyrange %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% définitions des couleurs %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /coul0 {0 0 0 0.5 setcmykcolor} def %gris /coul1 {noir} def /coul2 {orange} def /coul3 {rouge} def /coul4 {bleu} def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% les cadres de tableau %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% coul1 [0 0 0 7 7 7] (-) ligne [1 0 1 7] (-) ligne [0 6 7 6] (-) ligne [0 7 1 6] (-) ligne % les hachures coul2 /fillstyle {/hangle hangle 90 add store hachure} def 0 setlinewidth [1.5 6 6.5 1 6.5 6] polygone* % le cadre coul3 1.5 setlinewidth [2 2 4 2 4 0 3 0 3 1 2 1 2 2] (-) ligne $+$ 3 1.5 [2.5 dup] cctexlabel $\shortparallel$ 3.5 1 [2.5 dup] cctexlabel %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% les indices %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% coul1 $k$ .5 6.5 [2.5 dup] urtexlabel $n$ .5 6.5 [2.5 dup] dltexlabel % les valeurs de k $0$ 1.5 6.5 [2.5 dup] cctexlabel $1$ 2.5 6.5 [2.5 dup] cctexlabel $2$ 3.5 6.5 [2.5 dup] cctexlabel $3$ 4.5 6.5 [2.5 dup] cctexlabel $4$ 5.5 6.5 [2.5 dup] cctexlabel $5$ 6.5 6.5 [2.5 dup] cctexlabel % les valeurs de n $0$ 0.5 5.5 [2.5 dup] cctexlabel $1$ 0.5 4.5 [2.5 dup] cctexlabel $2$ 0.5 3.5 [2.5 dup] cctexlabel $3$ 0.5 2.5 [2.5 dup] cctexlabel $4$ 0.5 1.5 [2.5 dup] cctexlabel $5$ 0.5 .5 [2.5 dup] cctexlabel % les valeurs de {n \choose k} $1$ 1.5 5.5 [2.5 dup] cctexlabel $1$ 1.5 4.5 [2.5 dup] cctexlabel $1$ 1.5 3.5 [2.5 dup] cctexlabel $1$ 1.5 2.5 [2.5 dup] cctexlabel $1$ 1.5 1.5 [2.5 dup] cctexlabel $1$ 1.5 .5 [2.5 dup] cctexlabel $1$ 2.5 4.5 [2.5 dup] cctexlabel $2$ 2.5 3.5 [2.5 dup] cctexlabel $3$ 2.5 2.5 [2.5 dup] cctexlabel $4$ 2.5 1.5 [2.5 dup] cctexlabel $5$ 2.5 .5 [2.5 dup] cctexlabel $1$ 3.5 3.5 [2.5 dup] cctexlabel $3$ 3.5 2.5 [2.5 dup] cctexlabel $6$ 3.5 1.5 [2.5 dup] cctexlabel $10$ 3.5 .5 [2.5 dup] cctexlabel $1$ 4.5 2.5 [2.5 dup] cctexlabel $4$ 4.5 1.5 [2.5 dup] cctexlabel $10$ 4.5 .5 [2.5 dup] cctexlabel $1$ 5.5 1.5 [2.5 dup] cctexlabel $5$ 5.5 .5 [2.5 dup] cctexlabel $1$ 6.5 .5 [2.5 dup] cctexlabel