A385256 Decimal expansion of the volume of a gyroelongated triangular bicupola with unit edge.

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

Offset

1,1

Comments

The gyroelongated triangular bicupola is Johnson solid J_44.

Links

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

Wikipedia, Gyroelongated triangular bicupola.

Formula

Equals sqrt(2)*(5/3 + sqrt(1 + sqrt(3))) = A002193*(5/3 + sqrt(A090388)).

Equals the largest real root of 6561*x^8 - 198288*x^6 + 1506600*x^4 - 7125696*x^2 + 2704.

Example

4.6945643929158936762142216512961490819695690656940...

Mathematica

First[RealDigits[Sqrt[2]*(5/3 + Sqrt[1 + Sqrt[3]]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J44", "Volume"], 10, 100]]

Crossrefs

Cf. A385257 (surface area).

Cf. A002193, A002193, A384143.

Sequence in context: A307036 A076418 A059910 * A019837 A132160 A021217

Adjacent sequences: A385253 A385254 A385255 * A385257 A385258 A385259

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jun 24 2025

Status

approved