Math 60 ~ Test 1 Review
... 5. Find an expression for the perimeter of the given object. Simplify 4 x 2 3x 2 ...
... 5. Find an expression for the perimeter of the given object. Simplify 4 x 2 3x 2 ...
Formal power series
... that is, the coefficient is – (2n)! / [n! n! (2n-1)] = – (2n choose n) / (2n-1). So the coefficient of x^n in (1-sqrt(1-4x))/2x (for n > 1) is the coefficient of x^{n+1} in (1-sqrt(1-4x))/2, which is (1/2) (2(n+1) choose (n+1)) / (2n+1). = (2n choose n) / (n+1). Note that the generating function for ...
... that is, the coefficient is – (2n)! / [n! n! (2n-1)] = – (2n choose n) / (2n-1). So the coefficient of x^n in (1-sqrt(1-4x))/2x (for n > 1) is the coefficient of x^{n+1} in (1-sqrt(1-4x))/2, which is (1/2) (2(n+1) choose (n+1)) / (2n+1). = (2n choose n) / (n+1). Note that the generating function for ...
