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A300697 Volumes of concertina hypercubes. 1
0, 2, 8, 52, 472, 5526, 79384 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A concertina n-cube is a truncation of an n-cube with edge length n+1. Its volume is an even integer. (The values divided by 2 are in A300698.)

LINKS

Table of n, a(n) for n=0..6.

Tilman Piesk, Formulas in predicate logic (Wikiversity)

Tilman Piesk, Transparent and solid image of a concertina cube

Tilman Piesk, Python code used to generate the sequence

EXAMPLE

Dimension n                     1,  2,   3,   4,    5,      6

Hypercube volume A000169(n+1)   2,  9,  64, 625, 7776, 117649

Cut away volume                 0,  1,  12, 153, 2250,  38265

Remaining volume a(n)           2,  8,  52, 472, 5526,  79384

Example for dimension 3: The initial cube has edge length 4 and thus a volume of 64. The volume cut away is 12, so the remaining concertina cube has a volume of 52.

CROSSREFS

Cf. A300698, A000169.

Sequence in context: A007832 A111088 A006351 * A277499 A089467 A195192

Adjacent sequences:  A300694 A300695 A300696 * A300698 A300699 A300700

KEYWORD

nonn,more

AUTHOR

Tilman Piesk, Mar 11 2018

STATUS

approved

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Last modified December 6 08:53 EST 2019. Contains 329788 sequences. (Running on oeis4.)