A039618 Number of 2n-step self-avoiding closed walks on first octant of 3-dimensional cubic lattice, passing through origin.

1, 0, 3, 18, 138, 1278, 13410, 154584, 1919352, 25273422, 348989058, 5011939788, 74393974476, 1135821378924

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Sean A. Irvine, Java program (github)

Crossrefs

Cf. A001409, A034010.

Sequence in context: A003122 A275549 A357403 * A183363 A378952 A379185

Adjacent sequences: A039615 A039616 A039617 * A039619 A039620 A039621

Keyword

nonn,walk,hard,more

Author

David W. Wilson

Extensions

a(11)-a(13) from Sean A. Irvine, Feb 19 2021

Status

approved