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

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

Offset: 1

Author

Clark Kimberling, Feb 13 2018

Keywords

• nonn
• easy
• cons

Comments

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.

Then s(3n) -> 1.096981557798... , as in A230161;

s(3n+1) -> 1.2033685381501..., as in A298814;

s(3n+2) -> 1.44809583860..., as in A298815.

Examples

			greatest real zero = 1.4480958386096...
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A230161, A298813, A298814.

Programs

Mathematica

r = x /. NSolve[x^8 - 4 x^6 + 6 x^4 - 4 x^2 - x  + 1 == 0, x, 10000][[8]];
RealDigits[r][[1]]; (* A298815 *)