|
|
A316878
|
|
Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
4, 14, 37, 105, 388, 1280, 4121, 13933, 46641, 154593, 516270, 1725502, 5753200, 19197252, 64095188, 213911810, 713904833, 2382943651, 7953695202, 26546786860, 88606850547, 295748963969, 987132925969, 3294803783913, 10997255560702
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 2*a(n-1) +4*a(n-2) +14*a(n-3) -19*a(n-4) -63*a(n-5) -93*a(n-6) +71*a(n-7) +279*a(n-8) +285*a(n-9) -86*a(n-10) -418*a(n-11) -276*a(n-12) +28*a(n-13) +90*a(n-14) -9*a(n-15) for n>17
|
|
EXAMPLE
|
Some solutions for n=5
..0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..1..1. .0..0..0. .0..0..1
..0..0..0. .1..0..0. .0..0..0. .0..1..0. .1..0..1. .0..0..1. .0..0..1
..1..1..0. .1..0..0. .0..0..0. .1..0..0. .1..1..1. .0..0..0. .1..1..1
..0..0..0. .0..0..0. .0..0..1. .0..0..0. .1..1..0. .0..0..1. .0..0..1
..1..1..0. .0..0..0. .0..0..0. .0..0..0. .1..0..1. .0..0..0. .1..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|