A343948 - OEIS

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A343948

Decimal expansion of -(1 + (5/9)^(1/3)*((9+4*sqrt(6))^(1/3) - (4*sqrt(6)-9)^(1/3)))/4 (negated).

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

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OFFSET

0,1

COMMENTS

Abscissa of the minimum of 1+x+x^2+x^3+x^4.

LINKS

Table of n, a(n) for n=0..107.

Aaron Hendrickson and Claude Leibovici, On the minimum of 1+x+..+x^(2n), arXiv:2105.00135 [math.HO], 2021.

EXAMPLE

-0.605829586188268020990938731157

PROG

(PARI) -(1 + sqrtn(5/9, 3)*(sqrtn(9+4*sqrt(6), 3) - sqrtn(4*sqrt(6)-9, 3)))/4