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A270578 The number of distinct planes defined by an n X n X n grid of points. 1
20, 491, 7502, 52013, 297464, 1119791, 3900890, 11135201, 29329232 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..10.

EXAMPLE

The 8 points of the 2 X 2 X 2 grid define 20 planes: the 6 faces of the cube, 6 planes formed by an edge and its opposite edge, and 8 planes defined by the three vertices surrounding a given vertex. So, a(2)=20.

CROSSREFS

Cf. A222267, A270579.

Sequence in context: A000827 A241261 A118552 * A255492 A092087 A008270

Adjacent sequences:  A270575 A270576 A270577 * A270579 A270580 A270581

KEYWORD

nonn

AUTHOR

Clive Tooth, Mar 19 2016

STATUS

approved

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Last modified May 27 16:48 EDT 2022. Contains 354110 sequences. (Running on oeis4.)