A369369 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.

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

Offset

0,3

Comments

See A369368 for details.

Links

Table of n, a(n) for n=0..11.

Pontus von Brömssen, Illustration of the optimal mine-free cells for n = 1..11. (The random walk starts at the black dot.)

Crossrefs

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

Sequence in context: A085436 A277710 A286148 * A194048 A158868 A104634

Adjacent sequences: A369366 A369367 A369368 * A369370 A369371 A369372

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Jan 24 2024

Status

approved