A005551 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,4). (Formerly M5090)

1, 20, 130, 576, 2218, 8170, 29830, 109192, 402258, 1492746, 5578742, 20986424, 79420122, 302175648, 1155298598, 4436375790, 17103294308, 66174208076, 256870951048, 1000080994758, 3904276709604, 15280413966512

Offset

4,2

Comments

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

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=4..25.

D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352.

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

Crossrefs

Cf. A001335, A003289, A003290, A003291, A005549, A005550, A005552, A005553.

Sequence in context: A125330 A126488 A304507 * A006417 A156392 A374709

Adjacent sequences: A005548 A005549 A005550 * A005552 A005553 A005554

Keyword

nonn,walk,more

Author

N. J. A. Sloane

Extensions

More terms and improved title from Sean A. Irvine, Feb 14 2016

a(23)-a(25) from Bert Dobbelaere, Jan 15 2019

Status

approved