A385578 Decimal expansion of the volume of a parabiaugmented hexagonal prism with unit edge.

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

Offset

1,1

Comments

The parabiaugmented hexagonal prism is Johnson solid J_55.

Also the volume of a metabiaugmented hexagonal prism (Johnson solid J_56) with unit edge.

Links

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

Wikipedia, Parabiaugmented hexagonal prism.

Formula

Equals (2*sqrt(2) + 9*sqrt(3))/6 = (A010466 + 9*A002194)/6 = A131594 + A104956.

Equals the largest root of 1296*x^4 - 18072*x^2 + 55225.

Example

3.0694807321443476232250657536620412432707651725...

Mathematica

First[RealDigits[(Sqrt[8] + 9*Sqrt[3])/6, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J55", "Volume"], 10, 100]]

Crossrefs

Cf. A385257 (surface area + 2).

Cf. A002194, A010466, A104956, A131594, A385569.

Sequence in context: A182042 A011415 A216473 * A378390 A198433 A141434

Adjacent sequences: A385575 A385576 A385577 * A385579 A385580 A385581

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 04 2025

Status

approved