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A222268 Number of points defined by the lines described in A222267. 2
15, 649, 13307, 107201, 719981, 2912939 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Given a cubic n X n X n grid of points, a collection of lines is produced by constructing a line through every pair of points. A222267 gives the count of such lines. a(n) is the total number of points of intersection of these lines, including the original n^3 points.

LINKS

Table of n, a(n) for n=2..7.

EXAMPLE

A 2 X 2 X 2 grid of points defines 28 distinct lines which intersect in a total of 15 points (including the original 8 points).

CROSSREFS

A222267 is the number of lines produced from the grid of points.

Sequence in context: A081022 A049291 A092958 * A280179 A223203 A279465

Adjacent sequences:  A222265 A222266 A222267 * A222269 A222270 A222271

KEYWORD

nonn,more

AUTHOR

Clive Tooth, Feb 13 2013

EXTENSIONS

a(6) and a(7) from Clive Tooth, Feb 28 2016

STATUS

approved

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Last modified July 29 23:58 EDT 2021. Contains 346346 sequences. (Running on oeis4.)