OFFSET

1,1

LINKS

Nicolay Avilov, Problem Sozvezdiya_iz_pryamykh (in Russian).

Nicolay Avilov, Drawing for a(1)-a(6)

David Consiglio, Jr., 7 stars with 15 lines

FORMULA

Conjecture: a(n+1) <= a(n)+2 for n > 1. - David Consiglio, Jr., Sep 15 2022

EXAMPLE

a(1) = 5 because a five-pointed star can be drawn using 5 straight lines.

a(3) = 9 because, given any existing triangle, three five-pointed stars can be drawn using 9 straight lines as follows: through each vertex of the triangle, draw a pair of lines that intersect the opposite side of the triangle in such a way as to divide that side into three line segments of equal length. In addition to these six lines, draw one line parallel to each side of the triangle.

a(7) = 14 or 15. See example of 7 stars with 15 lines. - David Consiglio, Jr., Sep 15 2022

CROSSREFS

KEYWORD

nonn,more

AUTHOR

Nicolay Avilov, Jul 31 2022

STATUS

approved