A385569 Decimal expansion of the volume of an augmented hexagonal prism with unit edge.

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

Offset

1,1

Comments

The augmented hexagonal prism is Johnson solid J_54.

Links

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

Wikipedia, Augmented hexagonal prism.

Formula

Equals (sqrt(2) + 9*sqrt(3))/6 = (A002193 + 9*A002194)/6.

Equals the largest root of 1296*x^4 - 17640*x^2 + 58081.

Example

2.8337784717488317817581176329604248968424865266117...

Mathematica

First[RealDigits[(Sqrt[2] + 9*Sqrt[3])/6, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J54", "Volume"], 10, 100]]

Crossrefs

Cf. A354129 (surface area + 2).

Cf. A002193, A002194, A385505, A385506, A385509.

Sequence in context: A214072 A016640 A379829 * A321984 A083486 A076031

Adjacent sequences: A385566 A385567 A385568 * A385570 A385571 A385572

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 03 2025

Status

approved