A196601 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4

1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 16, 7, 1, 1, 17, 37, 37, 17, 1, 1, 41, 116, 129, 116, 41, 1, 1, 99, 356, 667, 667, 356, 99, 1, 1, 239, 1068, 2783, 4529, 2783, 1068, 239, 1, 1, 577, 3217, 12515, 26558, 26558, 12515, 3217, 577, 1, 1, 1393, 9717, 55513, 170468, 231416

Offset

1,8

Comments

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

Table starts

.1....1.....1.......1........1..........1...........1.............1

.1....1.....3.......7.......17.........41..........99...........239

.1....3....16......37......116........356........1068..........3217

.1....7....37.....129......667.......2783.......12515.........55513

.1...17...116.....667.....4529......26558......170468.......1067723

.1...41...356....2783....26558.....231416.....2094496......18642341

.1...99..1068...12515...170468....2094496....26951945.....343022617

.1..239..3217...55513..1067723...18642341...343022617....6221649467

.1..577..9717..245289..6694705..166805183..4375049733..112879214573

.1.1393.29312.1088893.41981191.1491811906.55715523106.2048333153257

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Example

Some solutions for n=6 k=4
..0..0..3..0....0..0..0..0....0..3..0..0....0..0..3..0....0..0..3..0
..0..0..0..3....3..0..0..3....3..0..3..0....0..0..0..3....3..0..0..0
..0..3..0..0....0..3..3..0....0..0..3..0....0..3..0..0....0..0..0..3
..0..3..0..0....3..0..0..0....0..0..0..3....0..3..0..0....0..0..0..0
..3..0..0..3....0..3..3..0....0..0..0..0....3..0..0..0....0..0..0..3
..0..3..0..0....0..0..0..0....0..0..3..0....0..3..0..0....0..3..0..0

Crossrefs

Column 2 is A001333(n-1)

Sequence in context: A364633 A333513 A196646 * A196578 A196809 A101842

Adjacent sequences: A196598 A196599 A196600 * A196602 A196603 A196604

Keyword

nonn,tabl

Author

R. H. Hardin Oct 04 2011

Status

approved