A369371 Denominator of the maximum expected number of steps of a random walk on the cells of the triangular lattice before it lands on a mined cell, given that all but n cells are mined.

1, 1, 2, 7, 1, 47, 4, 313, 19, 125, 31, 358, 22, 2, 364, 26, 10

Offset

0,3

Comments

See A369370 for details.

Links

Table of n, a(n) for n=0..16.

Pontus von Brömssen, Illustration of the optimal mine-free cells for n = 1..16. (The random walk starts at the black dot.)

Crossrefs

Cf. A369370 (numerators), A366999 (square lattice), A369369 (hexagonal lattice).

Sequence in context: A372176 A372153 A372170 * A242207 A060465 A219177

Adjacent sequences: A369368 A369369 A369370 * A369372 A369373 A369374

Keyword

nonn,frac,more

Author

Pontus von Brömssen, Jan 24 2024

Status

approved