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A395166
Decimal expansion of the midradius of an uniform 9-gonal antiprism with unit edges.
7
1, 4, 3, 9, 6, 9, 2, 6, 2, 0, 7, 8, 5, 9, 0, 8, 3, 8, 4, 0, 5, 4, 1, 0, 9, 2, 7, 7, 3, 2, 4, 7, 3, 1, 4, 6, 9, 9, 3, 6, 2, 0, 8, 1, 3, 4, 2, 6, 4, 4, 6, 4, 6, 3, 3, 0, 9, 0, 2, 8, 6, 6, 6, 2, 7, 7, 4, 2, 2, 1, 2, 1, 0, 9, 9, 5, 8, 8, 9, 4, 5, 8, 9, 4, 9, 7, 4, 5, 8, 8
OFFSET
1,2
LINKS
Polytope Wiki, Enneagonal antiprism.
Eric Weisstein's World of Mathematics, Antiprism.
Wikipedia, Antiprism.
FORMULA
Equals csc(Pi/18)/4 = 1/(4*sin(Pi/18)) = 1/(4*A019819).
Equals A019879 + 1/2.
Equals the largest root of 8*x^3 - 12*x^2 + 1.
EXAMPLE
1.439692620785908384054109277324731469936208134264...
MATHEMATICA
First[RealDigits[Csc[Pi/18]/4, 10, 100]]
(* Alternative: *)
First[RealDigits[PolyhedronData["NonagonalAntiprism", "Midradius"], 10, 100]]
CROSSREFS
Cf. A395164 (volume), A395165 (surface area), A395167 (circumradius), A395168 (height).
Cf. A395169, A395170 (dihedral angles).
Sequence in context: A103825 A073238 A010655 * A123596 A309460 A200361
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Apr 22 2026
STATUS
approved