A369369 - OEIS

%I #10 Jan 28 2024 03:36:13

%S 1,1,5,2,13,74,961,3,871,103,319,61289

%N Denominator of the maximum expected number of steps of a random walk on the cells of the hexagonal lattice before it lands on a mined cell, given that all but n cells are mined.

%C See A369368 for details.

%H Pontus von Brömssen, <a href="/A369368/a369368.svg">Illustration of the optimal mine-free cells for n = 1..11</a>. (The random walk starts at the black dot.)

%Y Cf. A369368 (numerators), A366999 (square lattice), A369371 (triangular lattice).

%K nonn,frac,more

%O 0,3

%A _Pontus von Brömssen_, Jan 24 2024