%I #8 Apr 30 2024 02:25:46
%S 9,4,9,1,0,7,9,1,2,3,4,2,7,5,8,5,2,4,5,2,6,1,8,9,6,8,4,0,4,7,8,5,1,2,
%T 6,2,4,0,0,7,7,0,9,3,7,6,7,0,6,1,7,7,8,3,5,4,8,7,6,9,1,0,3,9,1,3,0,6,
%U 3,3,3,0,3,5,4,8,4,0,1,4,0,8,0,5,7,3,0
%N Decimal expansion of the largest positive zero of the Legendre polynomial of degree 7.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Legendre_polynomials">Legendre polynomials</a>.
%H <a href="/index/Al#algebraic_06">Index entries for algebraic numbers, degree 6</a>.
%F Largest positive root of 429*x^6 - 693*x^4 + 315*x^2 - 35 = 0.
%e 0.949107912342758524526189684047851262400770937670617783548769...
%Y Cf. A008316, A100258.
%Y There are floor(k/2) positive zeros of the Legendre polynomial of degree k:
%Y k | zeros
%Y ---+--------------------------
%Y 2 | A020760
%Y 3 | A010513/10
%Y 4 | A372267, A372268
%Y 5 | A372269, A372270
%Y 6 | A372271, A372272, A372273
%Y 7 | A372274, A372275, A372276
%K nonn,cons
%O 0,1
%A _Pontus von Brömssen_, Apr 25 2024