A377299 Decimal expansion of the volume of a truncated cube with unit edge length.

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

Offset

2,2

Links

Table of n, a(n) for n=2..91.

Eric Weisstein's World of Mathematics, Truncated Cube.

Wikipedia, Truncated cube.

Formula

Equals 7 + (14/3)*sqrt(2) = 7 + 14*A131594.

Example

13.599663291074443561074547379645257699991802085...

Mathematica

First[RealDigits[7 + 14*Sqrt[2]/3, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedCube", "Volume"], 10, 100]]

Crossrefs

Cf. A377298 (surface area), A294968 (circumradius), A010503 (midradius - 1), A377296 (Dehn invariant, negated).

Cf. A131594.

Sequence in context: A254689 A176445 A292863 * A160173 A256537 A092996

Adjacent sequences: A377296 A377297 A377298 * A377300 A377301 A377302

Keyword

nonn,cons,easy

Author

Paolo Xausa, Oct 25 2024

Status

approved