A366932 - OEIS

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A366932

Number of edges formed after n points have been placed in general position on each edge of the triangle in A365929.

3, 9, 51, 255, 855, 2193, 4719, 8991, 15675, 25545, 39483, 58479, 83631, 116145, 157335, 208623, 271539, 347721, 438915, 546975, 673863, 821649, 992511, 1188735, 1412715, 1666953, 1954059, 2276751, 2637855, 3040305, 3487143, 3981519, 4526691, 5126025, 5782995, 6501183, 7284279

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

See A365929 for more information. See A365929 and A367015 for images of the triangle.

LINKS

Table of n, a(n) for n=0..36.

FORMULA

Conjecture: a(n) = 3*(3/2*n^4 - 2*n^3 + 3/2*n^2 + n + 1).

a(n) = A367015(n) + 3*A366478(n) - 1 by Euler's formula.

CROSSREFS

Cf. A365929 (internal vertices), A367015 (regions), A366478.