login
A197052
Number of nX6 0..4 arrays with each element equal to the number its horizontal and vertical zero neighbors
3
5, 16, 78, 274, 1132, 4468, 17742, 70616, 281202, 1117442, 4448148, 17693664, 70390082, 280040518, 1114106280, 4432207738, 17633023628, 70149839190, 279079644000, 1110273409628, 4417041071578, 17572471614384, 69909222737482
OFFSET
1,1
COMMENTS
Every 0 is next to 0 0's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 0's, every 4 is next to 4 0's
Column 6 of A197054
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +7*a(n-2) +9*a(n-3) -15*a(n-4) -38*a(n-5) +45*a(n-6) -16*a(n-7) -91*a(n-9) +117*a(n-10) -63*a(n-11) +52*a(n-12) -19*a(n-13) +5*a(n-14) +8*a(n-15) -10*a(n-16) +4*a(n-17) -4*a(n-18) for n>19
EXAMPLE
Some solutions for n=4
..0..3..0..2..0..2....0..3..0..2..1..0....2..0..3..0..3..0....0..2..0..3..0..1
..2..0..2..1..2..0....2..0..4..0..2..1....0..4..0..3..0..3....1..1..2..0..2..1
..1..1..2..0..1..2....1..2..0..4..0..2....3..0..2..1..2..0....2..0..2..1..2..0
..0..2..0..2..1..0....0..1..2..0..3..0....0..2..1..0..1..1....0..3..0..2..0..2
CROSSREFS
Sequence in context: A151474 A138550 A363558 * A334647 A203852 A179663
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 09 2011
STATUS
approved