A006779 Number of n-step spirals on cubic lattice. (Formerly M4121)

1, 6, 18, 54, 150, 426, 1158, 3204, 8682, 23724, 64194, 174378, 470856, 1274430, 3434826, 9272346, 24953004, 67230288, 180705126, 486152604, 1305430884, 3507947838, 9412114986, 25268587338, 67752451146, 181754458194, 487060621596, 1305761069730, 3497441209182

Offset

0,2

References

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

Links

Table of n, a(n) for n=0..28.

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

Sean A. Irvine, Java program (github)

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

Crossrefs

Sequence in context: A346071 A076941 A357198 * A003208 A174313 A002933

Adjacent sequences: A006776 A006777 A006778 * A006780 A006781 A006782

Keyword

nonn,walk

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 25 2019

Status

approved