A298852 Decimal expansion of the greatest real zero of x^4 - 4*x^2 - x + 3.

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

Offset

1,2

Comments

Let (d(n)) = (2,1,2,1,2,1,...), s(n) = (s(n-1) + d(n))^(1/2) for n > 0, and s(0) = 1.

Then s(2n) -> 1.9263032199..., as in A298852;

s(2n+1) -> 1.710644095..., as in A298853;

Links

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

Example

Greatest real zero = 1.9263032199...

Mathematica

r = x /. NSolve[x^4 - 4 x^2 - x  + 3 == 0, x, 10000][[4]];
RealDigits[r][[1]]; (* A298852 *)

Crossrefs

Cf. A298853.

Sequence in context: A021112 A353407 A248318 * A093066 A155168 A239628

Adjacent sequences: A298849 A298850 A298851 * A298853 A298854 A298855

Keyword

nonn,easy,cons

Author

Clark Kimberling, Feb 13 2018

Status

approved