A006780 Number of n-step spirals on cubic lattice. (Formerly M4163)

1, 6, 24, 90, 324, 1166, 4138, 14730, 51992, 183898, 646980, 2279702, 8002976, 28127418, 98585096, 345848306, 1210704274, 4241348770, 14833284544, 51907058582, 181392476966, 634197818374, 2214804822718, 7737946227490

Offset

0,2

References

A. J. Guttmann and K. J. Wallace, On three-dimensional spiral anisotropic self-avoiding walks, J. Phys. A 18 (1985), L1049-L1054.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

G. Szekeres and A. J. Guttmann, Spiral self-avoiding walks on the triangular lattice, J. Phys. A 20 (1987), 481-493.

Links

Table of n, a(n) for n=0..23.

Miles Conway, Python3 program

Sean A. Irvine, Java program (github)

Crossrefs

Sequence in context: A249976 A181618 A002919 * A001352 A155602 A179716

Adjacent sequences: A006777 A006778 A006779 * A006781 A006782 A006783

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 29 2019

Status

approved