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A178106
Number of closed walks of length 16 and algebraic area n in the square lattice.
2
33820044, 28133728, 18569808, 10127744, 5015108, 2289760, 1036368, 435040, 184104, 73056, 28064, 10336, 3760, 1088, 352, 96, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
OFFSET
0,1
COMMENTS
n=16 column of Table 1.1, p.9, Mohammad-Noori. Histogram of the number of closed walks for n = 16, 32, 64.
The algebraic area is a signed quantity, and can become zero for self-intersecting paths.
FORMULA
a(0) + 2*Sum_{n>0} a(n) = A002894(8).
CROSSREFS
Sequence in context: A246108 A184984 A143511 * A205943 A232636 A345121
KEYWORD
nonn,walk
AUTHOR
Jonathan Vos Post, Dec 16 2010
STATUS
approved