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A298852 Decimal expansion of the greatest real zero of x^4 - 4*x^2 - x + 3. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A155799 A021112 A248318 * A093066 A155168 A239628

Adjacent sequences:  A298849 A298850 A298851 * A298853 A298854 A298855

KEYWORD

nonn,easy,cons

AUTHOR

Clark Kimberling, Feb 13 2018

STATUS

approved

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Last modified September 18 12:00 EDT 2019. Contains 327170 sequences. (Running on oeis4.)