A381979 Decimal expansion of the expected number of steps to termination by self-trapping of a self-avoiding random walk on the square lattice.

7, 0, 7, 5, 9

Offset

2,1

Comments

The average walk length determined by 1.2*10^12 simulations is 70.75915 +- 0.00010

References

See under A001411.

Links

Table of n, a(n) for n=2..6.

Hugo Pfoertner, Results for the 2-dimensional Self-Trapping Random Walk.

Example

70.759...

Crossrefs

Cf. A378903 (The expected walk length on the cubic lattice).

Cf. A077483 (Probability of the occurrence of each walk length).

Cf. A322831.

Sequence in context: A010503 A392558 A335727 * A158857 A387132 A255727

Adjacent sequences: A381976 A381977 A381978 * A381980 A381981 A381982

Keyword

nonn,cons,hard,more

Author

Yi Yang, Mar 11 2025

Status

approved