A222268 Number of points defined by the lines described in A222267.

15, 649, 13307, 107201, 719981, 2912939

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: A049291 A351180 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