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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
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
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
KEYWORD
nonn,easy,cons
AUTHOR
Clark Kimberling, Feb 13 2018
STATUS
approved