A077817 Number of self-avoiding walks on the cubic lattice trapped after n steps.

5, 20, 229, 921, 7156, 29567, 193932, 821797, 4902336

Offset

11,1

Comments

Only 1/48 of all possible walks is counted by selecting the first step in +x direction and requiring the first steps changing y and z to be positive, with the first +y step before the first +z step.

References

See references given for A001412

Links

Table of n, a(n) for n=11..19.

Hugo Pfoertner, Results for the 3-dimensional Self-Trapping Random Walk.

Prog

(Fortran) c Program provided at given link

Crossrefs

Cf. A001412, A077818, A077819, A077820, A377161, A377162.

Sequence in context: A203902 A000877 A203113 * A032324 A321214 A198021

Adjacent sequences: A077814 A077815 A077816 * A077818 A077819 A077820

Keyword

walk,hard,more,nonn

Author

Hugo Pfoertner, Nov 17 2002

Status

approved