Triangle de Pascal

On cherche à construire le triangle de Pascal.

Le triangle de Pascal

Dans ce tableau de forme triangulaire, la ligne $0$ ne contient que le chiffre $1$, puis chaque ligne suivante commence et se termine par le chiffre $1$.

Par ailleurs, la valeur qui occupe une case située à l'intérieur du tableau s'obtient en ajoutant les valeurs des deux cases situées juste au-dessus et au-dessus à gauche, comme l'indique la figure suivante :

Colonnes :	0	1	2	3	4	5
ligne 0 :	$1$
ligne 1 :	$1$	$1$
ligne 2 :	$1$	$2$	$1$
ligne 3 :	$1$	$3$	$3$	$1$
ligne 4 :	$1$	$4$	$\mathbf{6}$	$\mathbf{4}$	$1$
ligne 5 :	$1$	$5$	$10$	$\mathbf{10}$	$5$	$1$

Ainsi à la ligne $5$, le second $10$ s'obtient avec $6$ en haut à gauche, plus $4$ juste au-dessus.

Compléter la fonction pascal(n) qui prend en paramètre un entier positif n et qui renvoie la liste correspondant au triangle de Pascal de la ligne 0 à la ligne n. Il y a $(n+1)$ lignes.

Exemples

>>> pascal(4)
[[1], [1, 1], [1, 2, 1], [1, 3, 3, 1], [1, 4, 6, 4, 1]]
>>> pascal(5)
[[1], [1, 1], [1, 2, 1], [1, 3, 3, 1], [1, 4, 6, 4, 1], [1, 5, 10, 10, 5, 1]]

Évaluations restantes : 10/10

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Colonnes :	0	1	2	3	4	5
ligne 0 :	\(1\)
ligne 1 :	\(1\)	\(1\)
ligne 2 :	\(1\)	\(2\)	\(1\)
ligne 3 :	\(1\)	\(3\)	\(3\)	\(1\)
ligne 4 :	\(1\)	\(4\)	\(\mathbf{6}\)	\(\mathbf{4}\)	\(1\)
ligne 5 :	\(1\)	\(5\)	\(10\)	\(\mathbf{10}\)	\(5\)	\(1\)