A197202 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4

2, 16, 100, 588, 3649, 22210, 135560, 827698, 5055418, 30875671, 188551113, 1151456304, 7031841993, 42943005672, 262250032226, 1601541435978, 9780493464535, 59728749093644, 364759066990417, 2227556706954487

Offset

1,1

Comments

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

Column 3 of A197207

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +6*a(n-2) +53*a(n-3) +91*a(n-4) +341*a(n-5) +491*a(n-6) +357*a(n-7) -1335*a(n-8) -2465*a(n-9) -5726*a(n-10) -7838*a(n-11) -6330*a(n-12) +5436*a(n-13) +31522*a(n-14) +34477*a(n-15) +22496*a(n-16) -22333*a(n-17) -35514*a(n-18) -40845*a(n-19) -2186*a(n-20) -2851*a(n-21) -4657*a(n-22) +24365*a(n-23) +3052*a(n-24) +5609*a(n-25) -758*a(n-26) -165*a(n-27) +820*a(n-28) +665*a(n-29) +55*a(n-30) +81*a(n-31) +28*a(n-32)

Example

Some solutions for n=4
..1..0..1....1..0..0....0..2..1....0..3..0....0..3..0....1..1..0....0..1..1
..2..0..2....2..3..0....1..1..0....1..0..0....0..0..3....2..2..1....1..2..2
..1..0..1....1..0..3....2..0..3....2..1..1....1..2..0....1..0..1....0..0..1
..0..0..0....0..3..0....1..0..0....0..1..2....0..1..0....0..1..2....1..2..1

Crossrefs

Sequence in context: A208694 A319603 A043016 * A361814 A032260 A197800

Adjacent sequences: A197199 A197200 A197201 * A197203 A197204 A197205

Keyword

nonn

Author

R. H. Hardin Oct 11 2011

Status

approved