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

Offset: 0

Author

Scott R. Shannon, Nov 02 2023

Keywords

• nonn

Comments

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

Crossrefs

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

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.