A003287 - OEIS

A003287

Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,1,1).
(Formerly M3588)

1, 4, 22, 140, 970, 7196, 56092, 452064, 3735700, 31484244, 269613896, 2339571468, 20529434520, 181871459580, 1624587752400, 14617165101216

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

REFERENCES

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

LINKS

MATHEMATICA

A001337 = Cases[Import["https://oeis.org/A001337/b001337.txt", "Table"], {_, _}][[All, 2]];

a[n_] := If[n == 1, 1, A001337[[n + 1]]/12];

a /@ Range[16] (* Jean-François Alcover, Jan 20 2020 *)

CROSSREFS

Equals A001337(n+1) / 12 for n > 1.

Equals (n+1) * A005398(n+1) / 6 for n > 1.

KEYWORD

nonn,walk,more

AUTHOR

EXTENSIONS

One more term and title improved by Sean A. Irvine, Feb 15 2016

a(15)-a(16) from Bert Dobbelaere, Jan 14 2019

STATUS

approved