cp's OEIS Frontend

A298815 Decimal expansion of the greatest real zero of x^8 - 4*x^6 + 6*x^4 - 4*x^2 - x + 1.

%I A298815 #4 Feb 13 2018 19:18:40
%S A298815 1,4,4,8,0,9,5,8,3,8,6,0,9,6,4,1,1,3,2,5,8,3,8,6,9,9,9,6,8,1,0,7,3,3,
%T A298815 6,4,6,2,2,7,9,6,5,2,7,7,5,8,6,5,5,5,7,1,5,1,8,3,7,9,7,3,4,9,7,1,8,5,
%U A298815 8,4,5,3,2,1,0,6,9,1,1,6,3,7,8,8,4,3
%N A298815 Decimal expansion of the greatest real zero of x^8 - 4*x^6 + 6*x^4 - 4*x^2 - x + 1.
%C A298815 Let (d(n)) = (0,0,1,0,0,1,...), s(n) = (s(n-1) + d(n))^(1/2) for n > 0, and s(0) = 1.
%C A298815 Then s(3n) -> 1.096981557798... , as in A230161;
%C A298815 s(3n+1) -> 1.2033685381501..., as in A298814;
%C A298815 s(3n+2) -> 1.44809583860..., as in A298815.
%H A298815 Clark Kimberling, <a href="/A298815/b298815.txt">Table of n, a(n) for n = 1..10000</a>
%e A298815 greatest real zero = 1.4480958386096...
%t A298815 r = x /. NSolve[x^8 - 4 x^6 + 6 x^4 - 4 x^2 - x  + 1 == 0, x, 10000][[8]];
%t A298815 RealDigits[r][[1]]; (* A298815 *)
%Y A298815 Cf. A230161, A298813, A298814.
%K A298815 nonn,easy,cons
%O A298815 1,2
%A A298815 _Clark Kimberling_, Feb 13 2018