|
|
A198008
|
|
Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,2 for x=0,1,2,3,4
|
|
1
|
|
|
2, 12, 51, 182, 753, 3061, 12503, 51668, 213279, 880209, 3634766, 15007471, 61961064, 255823889, 1056237984, 4360961496, 18005397659, 74340087665, 306933036933, 1267255479837, 5232203898902, 21602557380388, 89191955117072
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 2*a(n-1) +3*a(n-2) +23*a(n-3) +13*a(n-4) -9*a(n-5) -109*a(n-6) -98*a(n-7) +122*a(n-8) +332*a(n-9) +155*a(n-10) -557*a(n-11) -826*a(n-12) -13*a(n-13) +838*a(n-14) +800*a(n-15) +163*a(n-16) -309*a(n-17) -307*a(n-18) -142*a(n-19) -51*a(n-20) -45*a(n-21) +32*a(n-22) +12*a(n-23) -4*a(n-24)
|
|
EXAMPLE
|
Some solutions for n=4
..1..3..1....0..0..0....0..0..2....1..3..1....0..1..0....2..0..0....0..1..0
..0..1..0....0..0..1....0..1..0....1..1..0....2..3..1....0..2..1....1..3..1
..0..1..0....0..1..3....1..3..2....3..1..2....0..1..0....0..1..3....0..2..0
..1..3..1....2..0..1....0..1..0....1..0..0....0..0..0....2..0..1....0..2..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|