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A377161
a(n) is the numerator of the probability that a self-avoiding random walk on the cubic lattice is trapped after n steps.
4
8, 38, 637, 9759, 86221819, 28522360751, 583791967829, 1801511107253, 6467456149881773
OFFSET
11,1
FORMULA
a(n)/A377162(n) = A077818(n) / (5^(n-1) * 3^A077819(n) * 2^A077820(n)).
EXAMPLE
8/1953125, 38/9765625, 637/58593750, 9759/976562500, 86221819/4687500000000, 28522360751/1687500000000000, 583791967829/22500000000000000, ...
CROSSREFS
A377162 are the corresponding denominators.
Cf. A001412, A077817, A077818 (see there for more information), A077819, A077820.
Sequence in context: A229366 A007786 A026662 * A196074 A329172 A346326
KEYWORD
nonn,frac,walk,hard,more
AUTHOR
Hugo Pfoertner, Oct 20 2024
STATUS
approved