|
|
A281983
|
|
Number of nX3 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
|
|
1
|
|
|
0, 2, 121, 1054, 7053, 41118, 226025, 1189600, 6090935, 30538028, 150719259, 734621288, 3544728240, 16962264274, 80602719361, 380741691862, 1789303173765, 8371399843188, 39012925707604, 181180019619130, 838816233474674
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 6*a(n-1) +5*a(n-2) -48*a(n-3) -41*a(n-4) +76*a(n-5) +53*a(n-6) -94*a(n-7) +35*a(n-8) +188*a(n-9) -90*a(n-10) -98*a(n-11) +106*a(n-12) +22*a(n-13) -182*a(n-14) +60*a(n-15) +8*a(n-16) -72*a(n-17) +12*a(n-18) -9*a(n-20) for n>23
|
|
EXAMPLE
|
Some solutions for n=4
..0..1..1. .0..0..1. .0..0..1. .0..1..1. .0..1..0. .0..0..0. .0..1..1
..0..1..0. .0..1..1. .1..1..0. .1..0..0. .0..0..1. .0..1..0. .0..0..1
..0..1..0. .0..0..0. .1..0..1. .1..1..0. .1..1..1. .0..0..0. .1..1..0
..1..1..1. .1..0..0. .0..0..1. .1..0..1. .1..1..1. .0..0..0. .1..1..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|