The set of numbers that form Pascal's triangle were well known before Pascal. But, Pascal developed many applications of it and was the first one to organize all the information together in his Traité du triangle arithmétique (1653). The numbers originally arose from Hindu studies of binomial numbers and the study of figurate numbers. The earliest explicit depictions of a triangle of binomial coefficients occur in the 10th century in commentaries on the Chandas Shastra, a book by Pingala written between the 5th and 2nd century BC.
The Sierpinski Triangle
the sum is 65,528
depends. If you start Pascals triangle with (1) or (1,1). The fifth row with then either be (1,4,6,4,1) or (1,5,10,10,5,1). The sums of which are respectively 16 and 32.
Fibonacci lived about 400 years before Pascal did.
Omar Khayyam discovered Pascal's triangle.
Pascal's triangle
pascal
The Sierpinski Triangle
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
in the 11th century...
(a+b)7
35
1,4,6,4,1
Blaise Pascal.
Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.
The expanded binomial is another name for Pascal's triangle.
No, use java.