A386696 Decimal expansion of the volume of a snub square antiprism with unit edges.

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

Offset

1,1

Comments

The snub square antiprism is Johnson solid J_85.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Wikipedia, Snub square antiprism.

Formula

Equals the largest real root of 531441*x^12 - 85726026*x^8 - 48347280*x^6 + 11588832*x^4 + 4759488*x^2 - 892448.

Example

3.601222009733930312488413957294053408882603461...

Mathematica

First[RealDigits[Root[531441*#^12 - 85726026*#^8 - 48347280*#^6 + 11588832*#^4 + 4759488*#^2 - 892448 &, 6], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J85", "Volume"], 10, 100]]

Crossrefs

Cf. A385259 (surface area + 8).

Cf. A386695.

Sequence in context: A218113 A295194 A104613 * A113565 A178567 A182196

Adjacent sequences: A386693 A386694 A386695 * A386697 A386698 A386699

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 31 2025

Status

approved