OFFSET
0,3
COMMENTS
See A360923 for game rules.
Data from Tom Karzes.
The first differences begin 1, 3, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, ... Are all the differences after the start either 2 or 3? - N. J. A. Sloane, Feb 25 2023
Conjecture: For n >= 2, a(n) = n+1+floor(sqrt(2*n^2-2*n-3)). - N. J. A. Sloane, Feb 26 2023
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..250
Rémy Sigrist, C++ program
EXAMPLE
For starting position (3,0), a 7-move solution is (2,2), (1,3), (0,3), (-1,2), (-1,1), (-1,0), (0,0). There are no shorter solutions, so a(3) = 7.
PROG
(C++) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Allan C. Wechsler, Feb 25 2023
EXTENSIONS
More terms from Rémy Sigrist, Feb 26 2023
STATUS
approved