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A368001
a(n) is the denominator of the probability that a particular one of the A335573(n+1) fixed polyominoes corresponding to the free polyomino with binary code A246521(n+1) appears as the image of a simple random walk on the square lattice.
8
1, 2, 6, 6, 21, 21, 28, 21, 21, 2002, 77, 77, 77, 1001, 77, 77, 1001, 1001, 77, 91, 77, 89089, 785603, 286, 286, 48594, 286, 25924899, 194194, 785603, 194194, 25924899, 286, 89089, 286, 388388, 194194, 286, 51849798, 388388, 194194, 286, 286, 194194, 286, 388388, 286, 286, 194194, 388388, 194194, 286, 388388, 1165164, 291291, 286
OFFSET
1,2
COMMENTS
In a simple random walk on the square lattice, draw a unit square around each visited point. A368000(n)/a(n) is the probability that, when the appropriate number of distinct points have been visited, the drawn squares form a particular one of the fixed polyominoes corresponding to 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.
FORMULA
A368000(n)/a(n) = (A367994(n)/A367995(n))/A335573(n+1).
EXAMPLE
As an irregular triangle:
1;
2;
6, 6;
21, 21, 28, 21, 21;
2002, 77, 77, 77, 1001, 77, 77, 1001, 1001, 77, 91, 77;
...
CROSSREFS
KEYWORD
nonn,frac,tabf
AUTHOR
STATUS
approved