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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
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: A049291 A351180 A092958 * A280179 A223203 A279465
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 March 3 11:14 EST 2024. Contains 370511 sequences. (Running on oeis4.)