Triangle de Pascal

On cherche à construire le triangle de Pascal.

Le triangle de Pascal

Dans le triangle de Pascal, tableau de forme triangulaire, chaque ligne commence et se termine par le nombre $1$.

Comme l'illustre la figure, on additionne deux valeurs successives d’une ligne pour obtenir la valeur qui se situe sous la deuxième valeur.

$1$
$1$	$1$
$1$	$2$	$1$
$1$	$3$	$3$	$1$
$1$	$4$	$6$	$4$	$1$
$1$	$5$	$10$	$10$	$5$	$1$

Triangle de Pascal

Compléter les fonctions ligne_suivante et pascal ci-dessous.

La fonction ligne_suivante prend en paramètre une liste d’entiers ligne correspondant à une ligne du triangle de Pascal et renvoie la liste correspondant à la ligne suivante du triangle de Pascal.

La fonction pascal prend en paramètre un entier n et l’utilise pour construire le triangle de Pascal ayant n+1 lignes sous la forme d’une liste de listes.

Exemples

>>> ligne_suivante([1, 3, 3, 1])
[1, 4, 6, 4, 1]
>>> 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]]

Compléter le code suivant :

Évaluations restantes : 5/5

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\(1\)
\(1\)	\(1\)
\(1\)	\(2\)	\(1\)
\(1\)	\(3\)	\(3\)	\(1\)
\(1\)	\(4\)	\(6\)	\(4\)	\(1\)
\(1\)	\(5\)	\(10\)	\(10\)	\(5\)	\(1\)