The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001667 2n-step polygons on b.c.c. lattice.
(Formerly M5364 N2330)
1

%I M5364 N2330 #25 Jun 03 2022 01:43:22

%S 96,1776,43776,1237920,37903776,1223681760,41040797376,1416762272736,

%T 50027402384640,1799035070369856

%N 2n-step polygons on b.c.c. lattice.

%C Number of 2n-step closed self-avoiding walks starting from the origin. - _Bert Dobbelaere_, Jan 16 2019

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

%H P. Butera and M. Comi, <a href="https://doi.org/10.1007/BF01608788">Enumeration of the self-avoiding polygons on a lattice by the Schwinger-Dyson equations</a>, Annals of Combinatorics 3, 277-286 (1999); arXiv:<a href="https://arxiv.org/abs/cond-mat/9903297">cond-mat/9903297</a>, 1999.

%H M. E. Fisher and M. F. Sykes, <a href="http://dx.doi.org/10.1103/PhysRev.114.45">Excluded-volume problem and the Ising model of ferromagnetism</a>, Phys. Rev. 114 (1959), 45-58.

%H M. F. Sykes et al., <a href="https://doi.org/10.1088/0305-4470/5/5/007">The number of self-avoiding walks on a lattice</a>, J. Phys. A 5 (1972), 661-666.

%H <a href="/index/Ba#bcc">Index entries for sequences related to b.c.c. lattice</a>

%Y Cf. A001666, A001413, A001337, A038515.

%K nonn,nice,walk,more

%O 2,1

%A _N. J. A. Sloane_

%E a(9)-a(10) from _Bert Dobbelaere_, Jan 16 2019

%E a(11) from Butera & Comi added by _Andrey Zabolotskiy_, Jun 02 2022

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 13 15:50 EDT 2024. Contains 372521 sequences. (Running on oeis4.)