A393965 - OEIS

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A393965

Decimal expansion of the height of an hexagonal antiprism with unit edges.

3

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..10000

David I. McCooey, Hexagonal Antiprism.

Polytope Wiki, Hexagonal antiprism.

Eric Weisstein's World of Mathematics, Antiprism.

Wikipedia, Hexagonal antiprism.

FORMULA

Equals sqrt(sqrt(3) - 1) = sqrt(A160390).

Equals the largest real root of x^4 + 2*x^2 - 2.

EXAMPLE

0.85559967716735219296923576621117637584317804769...

MATHEMATICA

First[RealDigits[Sqrt[Sqrt[3] - 1], 10, 100]]

CROSSREFS

Cf. A385259 (surface area + 10), A393963 (volume), A019884 (midradius), A393964 (circumradius).

Cf. A387296, A387297 (dihedral angles).

Sequence in context: A021543 A257436 A201295 * A011107 A356805 A386241

Adjacent sequences: A393962 A393963 A393964 * A393966 A393967 A393968

KEYWORD

nonn,cons,easy

AUTHOR

Paolo Xausa, Mar 08 2026

STATUS

approved