A372270 - OEIS

A372270

Decimal expansion of the largest positive zero of the Legendre polynomial of degree 5.

9, 0, 6, 1, 7, 9, 8, 4, 5, 9, 3, 8, 6, 6, 3, 9, 9, 2, 7, 9, 7, 6, 2, 6, 8, 7, 8, 2, 9, 9, 3, 9, 2, 9, 6, 5, 1, 2, 5, 6, 5, 1, 9, 1, 0, 7, 6, 2, 5, 3, 0, 8, 6, 2, 8, 7, 3, 7, 6, 2, 2, 8, 6, 5, 4, 3, 7, 7, 0, 7, 9, 4, 9, 1, 6, 6, 8, 6, 8, 4, 6, 9, 4, 1, 1, 4, 2

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..86.

Wikipedia, Legendre polynomials.

Index entries for algebraic numbers, degree 4.

FORMULA

Largest positive root of 63*x^4 - 70*x^2 + 15 = 0.

Equals sqrt(5+2*sqrt(10/7))/3.

EXAMPLE

0.906179845938663992797626878299392965125651910762530862873762...