The On-Line Encyclopedia of Integer Sequences (OEIS)

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A378388

Decimal expansion of the surface area of a tetrakis hexahedron with unit shorter edge length.
(history; published version)

#10 by OEIS Server at Thu Nov 28 11:11:27 EST 2024

LINKS

Paolo Xausa, <a href="/A378388/b378388_1.txt">Table of n, a(n) for n = 2..10000</a>

#9 by N. J. A. Sloane at Thu Nov 28 11:11:27 EST 2024

STATUS

proposed

approved

Discussion

Thu Nov 28

11:11

OEIS Server: Installed first b-file as b378388.txt.

#8 by Paolo Xausa at Wed Nov 27 09:43:02 EST 2024

STATUS

editing

proposed

#7 by Paolo Xausa at Wed Nov 27 09:43:00 EST 2024

EXAMPLE

11.925695879998878380848926233233473255683297917928,,,...

STATUS

proposed

editing

#6 by Paolo Xausa at Wed Nov 27 09:42:39 EST 2024

STATUS

editing

proposed

#5 by Paolo Xausa at Wed Nov 27 07:48:16 EST 2024

LINKS

Paolo Xausa, <a href="/A378388/b378388_1.txt">Table of n, a(n) for n = 2..10000</a>

Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetrakis_hexahedron">Tetrakis hexahedron</a>.

FORMULA

Equals (16/3)*sqrt(5) = (16/3)*A002163 = 16*A208899.

CROSSREFS

Cf. A002163, A208899.

#4 by Paolo Xausa at Wed Nov 27 07:44:50 EST 2024

NAME

Decimal expansion of the surface area of a tetrakis hexahedron with unit shorter edge length.

#3 by Paolo Xausa at Wed Nov 27 07:44:28 EST 2024

NAME

allocated for Paolo Xausa

Decimal expansion of the surface area of a tetrakis hexahedron

DATA

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

OFFSET

2,3

COMMENTS

The tetrakis hexahedron is the dual polyhedron of the truncated octahedron.

LINKS

Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TetrakisHexahedron.html">Tetrakis Hexahedron</a>.

Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetrakis_hexahedron">Tetrakis hexahedron</a>.

EXAMPLE

11.925695879998878380848926233233473255683297917928,,,

MATHEMATICA

First[RealDigits[16*Sqrt[5]/3, 10, 100]] (* or *)

First[RealDigits[PolyhedronData["TetrakisHexahedron", "SurfaceArea"], 10, 100]]

CROSSREFS

Cf. A374359 (volume - 1), A010532 (inradius*10), A179587 (midradius + 1), A378389 (dihedral angle).

Cf. A377341 (surface area of a truncated octahedron with unit edge).

KEYWORD

allocated

nonn,cons,easy

AUTHOR

Paolo Xausa, Nov 27 2024

STATUS

approved

editing

#2 by Paolo Xausa at Sun Nov 24 15:21:36 EST 2024

KEYWORD

allocating

allocated

#1 by Paolo Xausa at Sun Nov 24 15:21:36 EST 2024

NAME

allocated for Paolo Xausa

KEYWORD

allocating

STATUS

approved