A197065 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,1,3,0,2 for x=0,1,2,3,4

4, 34, 408, 3466, 33407, 338295, 3302634, 32228538, 317069301, 3110367731, 30494103708, 299200276162, 2935153005359, 28791440736323, 282438007986238, 2770639649805104, 27178969275479327, 266616968388816645

Offset

1,1

Comments

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

Column 4 of A197069

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +31*a(n-2) +280*a(n-3) +618*a(n-4) +993*a(n-5) -2122*a(n-6) +1311*a(n-7) -2410*a(n-8) +6999*a(n-9) +2999*a(n-10) -4252*a(n-11) -26458*a(n-12) +10218*a(n-13) -29893*a(n-14) +26067*a(n-15) -37919*a(n-16) -27999*a(n-17) +12351*a(n-18) +29974*a(n-19) -15316*a(n-20) -15612*a(n-21) +18597*a(n-22) -1617*a(n-23) -5074*a(n-24) +1208*a(n-25) -247*a(n-26) -39*a(n-27) +12*a(n-28) -2*a(n-29) for n>30

Example

Some solutions for n=5
..0..1..1..0....0..1..1..0....0..0..1..1....0..3..0..0....0..0..3..0
..0..3..0..1....0..0..0..0....3..0..0..0....0..0..1..1....1..0..0..3
..0..0..0..1....1..0..0..0....0..1..1..0....1..1..0..0....1..3..0..0
..3..0..1..0....1..0..1..1....0..3..0..0....0..0..0..0....0..0..0..3
..0..0..1..0....0..0..0..0....0..0..0..0....0..0..1..1....0..0..3..0

Crossrefs

Sequence in context: A197921 A379188 A196692 * A141007 A207570 A158839

Adjacent sequences: A197062 A197063 A197064 * A197066 A197067 A197068

Keyword

nonn

Author

R. H. Hardin Oct 09 2011

Status

approved