cp's OEIS Frontend

A298814 Decimal expansion of the greatest real zero of x^8 - 2*x^4 - x + 1.

%I A298814 #16 Nov 06 2018 06:48:59
%S A298814 1,2,0,3,3,6,8,5,3,8,1,5,0,1,5,5,0,3,4,4,5,1,0,1,8,4,7,1,9,6,5,2,9,7,
%T A298814 0,9,4,2,3,0,4,0,9,8,8,2,7,6,3,6,5,7,3,2,7,1,8,2,9,5,8,2,0,0,1,5,8,2,
%U A298814 9,2,3,7,4,2,0,7,7,4,3,0,0,9,5,1,4,9
%N A298814 Decimal expansion of the greatest real zero of x^8 - 2*x^4 - x + 1.
%C A298814 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 A298814 Then s(3n) -> 1.096981557798..., as in A230161;
%C A298814 s(3n+1) -> 1.2033685381501..., as in A298814;
%C A298814 s(3n+2) -> 1.44809583860..., as in A298815.
%H A298814 Clark Kimberling, <a href="/A298814/b298814.txt">Table of n, a(n) for n = 1..10000</a>
%e A298814 Greatest real zero = 1.2033685381501...
%t A298814 r = x /. NSolve[x^8 - 2 x^4 - x + 1 == 0, x, 10000][[8]];
%t A298814 RealDigits[r][[1]]; (* A298814 *)
%o A298814 (PARI) solve(x=1, 2, x^8 - 2*x^4 - x + 1) \\ _Michel Marcus_, Nov 05 2018
%Y A298814 Cf. A230161, A298813, A298815.
%K A298814 nonn,easy,cons
%O A298814 1,2
%A A298814 _Clark Kimberling_, Feb 13 2018