|
|
A156228
|
|
Number of lakes in Conway's Game of Life with 8*n cells.
|
|
0
|
|
|
1, 0, 1, 1, 4, 7, 31, 98, 446, 1894, 9049, 43151
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,5
|
|
COMMENTS
|
a(n) is also the number of walks of length 4*n on a 2D lattice with the properties that: it turns 90 degrees after every step of length 1, it is a closed loop (i.e., it ends where it started) and it never crosses itself.
|
|
LINKS
|
|
|
EXAMPLE
|
a(2) = 0 because there are no lakes with 16 cells.
|
|
CROSSREFS
|
|
|
KEYWORD
|
hard,more,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|