OFFSET
1,3
COMMENTS
In a simple random walk on the square lattice, draw a unit square around each visited point. a(n)/A367995(n) is the probability that, when the appropriate number of distinct points have been visited, the drawn squares form the free polyomino with binary code A246521(n+1).
Can be read as an irregular triangle, whose n-th row contains A000105(n) terms, n >= 1.
LINKS
Pontus von Brömssen, Table of n, a(n) for n = 1..6473 (rows 1..10).
EXAMPLE
As an irregular triangle:
1;
1;
2, 1;
8, 4, 1, 4, 2;
388, 4, 4, 8, 64, 8, 4, 32, 64, 4, 1, 2;
...
There are only one monomino and one free domino, so both of these appear with probability 1, and a(1) = a(2) = 1.
CROSSREFS
KEYWORD
nonn,frac,tabf
AUTHOR
Pontus von Brömssen, Dec 08 2023
STATUS
approved