A197453 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4

3, 23, 84, 583, 2233, 10758, 53337, 252125, 1209824, 5768661, 27595593, 132068806, 631286751, 3018734589, 14435100274, 69026970467, 330080196953, 1578377336418, 7547555375561, 36091265919103, 172582773358524, 825263869695369

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 2's, every 4 is next to 4 2's

Column 4 of A197457

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) +6*a(n-2) +15*a(n-3) +50*a(n-4) +153*a(n-5) +182*a(n-6) +379*a(n-7) +965*a(n-8) +359*a(n-9) -1167*a(n-10) -2472*a(n-11) -4778*a(n-12) -5592*a(n-13) -2203*a(n-14) -350*a(n-15) -2414*a(n-16) +488*a(n-17) +7327*a(n-18) +5913*a(n-19) +7477*a(n-20) +9964*a(n-21) +7136*a(n-22) +12438*a(n-23) +7558*a(n-24) -81*a(n-25) -813*a(n-26) +2186*a(n-27) +2986*a(n-28) +284*a(n-29) -1001*a(n-30) +460*a(n-31) -837*a(n-32) -1033*a(n-33) +93*a(n-34) +254*a(n-35) +6*a(n-36) -33*a(n-37) -8*a(n-38)

Example

Some solutions containing all values 0 to 4 for n=5
..0..0..1..0....0..0..2..0....0..0..2..0....2..0..0..0....0..2..0..0
..2..2..3..2....0..0..1..0....2..2..4..2....0..0..1..0....0..2..0..0
..0..0..2..0....0..2..3..2....0..0..2..0....0..2..3..2....1..3..2..0
..2..2..4..2....2..4..2..0....0..1..3..2....2..4..2..0....0..2..4..2
..0..0..2..0....0..2..0..2....0..0..2..0....0..2..0..2....0..0..2..0

Crossrefs

Sequence in context: A027701 A201482 A032017 * A024196 A196339 A196318

Adjacent sequences: A197450 A197451 A197452 * A197454 A197455 A197456

Keyword

nonn

Author

R. H. Hardin Oct 15 2011

Status

approved