login
A197093
Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,0,1 for x=0,1,2,3,4
1
2, 18, 74, 384, 1880, 9274, 45843, 226260, 1117379, 5517062, 27241839, 134512788, 664185673, 3279563167, 16193558462, 79959241428, 394816250117, 1949491619113, 9626041441314, 47530685870146, 234693161662954, 1158848838643225
OFFSET
1,1
COMMENTS
Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 1's
Column 3 of A197098
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +5*a(n-2) +16*a(n-3) +26*a(n-4) +32*a(n-5) -2*a(n-6) +2*a(n-7) -30*a(n-8) +7*a(n-9) -3*a(n-10) +a(n-11) +a(n-12) -a(n-13)
EXAMPLE
Some solutions for n=4
..2..0..0....2..0..0....0..0..0....2..0..2....0..0..2....0..3..0....0..2..0
..0..0..2....0..0..0....0..0..3....0..0..0....2..3..0....2..0..0....0..2..2
..0..0..2....0..0..0....3..0..0....2..3..0....0..0..0....2..0..0....0..0..0
..0..3..0....0..0..2....0..0..0....0..0..0....0..3..0....0..0..2....0..3..0
CROSSREFS
Sequence in context: A120358 A152887 A098817 * A034473 A024171 A056664
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 10 2011
STATUS
approved