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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.
7
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
0,1
COMMENTS
See A365929 for more information. See A365929 and A367015 for images of the triangle.
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.
Sequence in context: A079836 A171951 A323232 * A319105 A106329 A193521
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Nov 02 2023
STATUS
approved