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!)
A178106 Number of closed walks of length 16 and algebraic area n in the square lattice. 2

%I #9 Dec 31 2023 10:14:45

%S 33820044,28133728,18569808,10127744,5015108,2289760,1036368,435040,

%T 184104,73056,28064,10336,3760,1088,352,96,16,0,0,0,0,0,0,0,0,0,0,0,0,

%U 0,0,0

%N Number of closed walks of length 16 and algebraic area n in the square lattice.

%C n=16 column of Table 1.1, p.9, Mohammad-Noori. Histogram of the number of closed walks for n = 16, 32, 64.

%C The algebraic area is a signed quantity, and can become zero for self-intersecting paths.

%H Morteza Mohammad-Noori, <a href="http://arxiv.org/abs/1012.3720">Enumeration of closed random walks in the square lattice according to their areas</a>, arXiv:1012.3720, Dec 16, 2010.

%F a(0) + 2*Sum_{n>0} a(n) = A002894(8).

%Y Cf. A002894, A008855.

%K nonn,walk

%O 0,1

%A _Jonathan Vos Post_, Dec 16 2010

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 July 15 12:05 EDT 2024. Contains 374332 sequences. (Running on oeis4.)