A196332 - OEIS

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A196332

Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4

4, 8, 7, 50, 111, 259, 744, 1840, 4761, 12491, 33073, 86147, 225519, 592444, 1548876, 4064416, 10672675, 27999791, 73482986, 192857345, 506140823, 1328448433, 3487163834, 9153779129, 24028409740, 63075279907, 165574433166, 434640853456

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OFFSET

1,1

COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 2's

Column 3 of A196337

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-3) -5*a(n-4) +6*a(n-5) +6*a(n-6) -22*a(n-7) -71*a(n-8) +6*a(n-9) +95*a(n-10) +3*a(n-11) +139*a(n-12) -20*a(n-13) -45*a(n-14) +44*a(n-15) -6*a(n-16) -14*a(n-17)

EXAMPLE

Some solutions for n=4

..1..0..1....1..0..1....0..0..0....1..0..1....0..0..1....1..1..1....1..1..0

..3..1..3....1..0..1....1..3..1....3..1..1....1..1..1....0..0..0....0..1..1

..1..1..1....1..0..1....1..1..3....1..3..0....1..3..0....0..0..0....1..1..3

..0..0..0....1..0..1....0..0..1....0..1..1....0..1..1....0..0..0....1..0..1

CROSSREFS

Sequence in context: A196141 A082210 A196282 * A245654 A135863 A176221

Adjacent sequences: A196329 A196330 A196331 * A196333 A196334 A196335

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 01 2011

STATUS

approved