A377161 a(n) is the numerator of the probability that a self-avoiding random walk on the cubic lattice is trapped after n steps.

8, 38, 637, 9759, 86221819, 28522360751, 583791967829, 1801511107253, 6467456149881773

Offset: 11

Author

Hugo Pfoertner, Oct 20 2024

Keywords

• nonn
• frac
• walk
• hard
• more

Examples

			8/1953125, 38/9765625, 637/58593750, 9759/976562500, 86221819/4687500000000, 28522360751/1687500000000000, 583791967829/22500000000000000, ...
		

Links

• Plot of a(n)/A377162(n) vs n, using Plot 2.

Crossrefs

A377162 are the corresponding denominators.

Cf. A001412, A077817, A077818 (see there for more information), A077819, A077820.

Formula

a(n)/A377162(n) = A077818(n) / (5^(n-1) * 3^A077819(n) * 2^A077820(n)).