|
|
A299092
|
|
Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
4, 13, 20, 41, 101, 242, 578, 1385, 3368, 8216, 20014, 48885, 119555, 292427, 715827, 1753080, 4294103, 10521578, 25786055, 63204089, 154942532, 379879302, 931443529, 2284029958, 5601114152, 13736265904, 33688529855, 82624915345
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 4*a(n-1) -3*a(n-2) +4*a(n-3) -23*a(n-4) +18*a(n-5) -8*a(n-6) +47*a(n-7) -29*a(n-8) +26*a(n-9) -66*a(n-10) +17*a(n-11) -29*a(n-12) +46*a(n-13) -3*a(n-14) +18*a(n-15) -18*a(n-16) for n>17
|
|
EXAMPLE
|
Some solutions for n=5
..0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..0..0. .0..1..0
..0..0..1. .0..1..1. .1..0..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0
..0..0..1. .0..1..1. .1..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1
..1..0..0. .0..1..0. .1..0..0. .0..0..1. .0..0..0. .1..1..1. .1..0..1
..0..1..1. .1..1..0. .0..1..0. .1..0..1. .1..1..1. .0..0..0. .1..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|