|
|
A298181
|
|
Number of nX6 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
0, 5, 5, 10, 27, 53, 114, 257, 561, 1286, 2875, 6483, 14836, 33739, 76959, 176116, 402969, 923505, 2117450, 4857133, 11149229, 25598958, 58792507, 135063467, 310331636, 713157987, 1639076783, 3767508164, 8660572913, 19909853545
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 4*a(n-1) -5*a(n-2) +8*a(n-3) -14*a(n-4) +5*a(n-5) -17*a(n-6) +19*a(n-7) +21*a(n-8) -2*a(n-9) +50*a(n-10) -75*a(n-11) +28*a(n-12) -57*a(n-13) +28*a(n-14) -52*a(n-15) +38*a(n-16) -22*a(n-17) -12*a(n-18) +4*a(n-19) +20*a(n-20) +8*a(n-21) -8*a(n-22)
|
|
EXAMPLE
|
Some solutions for n=7
..0..0..0..1..1..1. .0..0..1..1..0..0. .0..0..1..1..1..1. .0..0..0..0..1..1
..0..0..0..1..1..1. .0..0..1..1..0..0. .0..0..1..1..1..1. .0..0..0..0..1..1
..0..0..0..0..0..0. .0..0..1..1..0..0. .0..0..0..0..0..0. .0..0..0..0..1..1
..1..1..0..0..0..0. .0..0..0..0..0..0. .1..1..0..0..0..0. .0..0..0..0..1..1
..1..1..0..0..0..0. .1..1..0..0..1..1. .1..1..0..0..0..0. .1..1..1..0..0..0
..1..1..0..0..0..0. .1..1..0..0..1..1. .1..1..0..0..0..0. .1..1..1..0..0..0
..1..1..0..0..0..0. .1..1..0..0..1..1. .1..1..0..0..0..0. .1..1..1..0..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|