A395020 Decimal expansion of the median of the distribution of distances between two points in a unit ball.

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

Offset

1,3

Comments

The positive real root of x^6/16 - 9*x^4/8 + 2*x^3 - 1 = 0.

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Ball Line Picking.

Index entries for algebraic numbers, degree 6.

Example

1.033247409237409391237142204144523860104584364890194...

Mathematica

RealDigits[x /. FindRoot[x^6/16 - 9*x^4/8 + 2*x^3 - 1, {x, 1}, WorkingPrecision -> 120]][[1]]

Prog

(PARI) solve(x = 1, 2, x^6/16 - 9*x^4/8 + 2*x^3 - 1)

Crossrefs

Cf. A093530, A093531, A395019 (mode), A394606 (disk), A394608 (square), A395017 (cube).

Sequence in context: A354698 A050610 A374940 * A151848 A238238 A117937

Adjacent sequences: A395017 A395018 A395019 * A395021 A395022 A395023

Keyword

nonn,cons

Author

Amiram Eldar, Apr 10 2026

Status

approved