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A077817 Number of self-avoiding walks on the cubic lattice trapped after n steps. 4
5, 20, 229, 921, 7156, 29567, 193932, 821797, 4902336 (list; graph; refs; listen; history; text; internal format)
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 program provided at given link

CROSSREFS

Cf. A001412.

Sequence in context: A203902 A000877 A203113 * A032324 A321214 A198021

Adjacent sequences:  A077814 A077815 A077816 * A077818 A077819 A077820

KEYWORD

more,nonn

AUTHOR

Hugo Pfoertner, Nov 17 2002

STATUS

approved

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Last modified November 17 11:02 EST 2019. Contains 329226 sequences. (Running on oeis4.)