A046945 Number of self-avoiding walks of length n on hypertriangular lattice.

1, 6, 30, 144, 696, 3330, 15774, 74484, 351192, 1651806, 7753182, 36342882, 170163366, 795893904, 3719252820, 17367159072, 81042611532, 377955686508, 1761732754584

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, International Journal of Pure and Applied Mathematics 36(2), 2007, pp. 251-257. MR2312537. Zbl 1133.11012.

Sean A. Irvine, Java program (github).

J. A. Leu, Self-avoiding walks on a pair of three dimensional lattices, Phys. Lett., 29A (1969), 641-642.

Crossrefs

Sequence in context: A026899 A135160 A276022 * A216045 A307494 A316593

Adjacent sequences: A046942 A046943 A046944 * A046946 A046947 A046948

Keyword

nonn,walk,more

Author

N. J. A. Sloane

Extensions

a(5) corrected and a(15)-a(18) from Sean A. Irvine, May 06 2021

Status

approved