A196337 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 4,0,3,1,2 for x=0,1,2,3,4

1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 17, 7, 17, 8, 12, 34, 50, 50, 34, 12, 17, 62, 111, 335, 111, 62, 17, 25, 123, 259, 894, 894, 259, 123, 25, 37, 243, 744, 3246, 3793, 3246, 744, 243, 37, 54, 471, 1840, 14973, 25295, 25295, 14973, 1840, 471, 54, 79, 924, 4761, 64423

Offset

1,2

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

Table starts

..1...3.....4.......5........8.........12..........17............25

..3...5.....8......17.......34.........62.........123...........243

..4...8.....7......50......111........259.........744..........1840

..5..17....50.....335......894.......3246.......14973.........64423

..8..34...111.....894.....3793......25295......169152........868710

.12..62...259....3246....25295.....237905.....1783508......14742650

.17.123...744...14973...169152....1783508....20775275.....288083607

.25.243..1840...64423...868710...14742650...288083607....5845172493

.37.471..4761..270901..4661189..131257701..3804352736...96877056239

.54.924.12491.1067992.28620947.1161104389.45025949276.1661781001020

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

Some solutions for n=6 k=4
..1..1..0..0....1..3..1..0....0..1..1..0....0..1..1..0....1..3..1..0
..0..3..1..1....0..1..3..1....0..1..1..0....1..3..1..0....0..1..3..0
..0..1..1..1....0..1..3..1....0..1..1..0....1..3..1..0....1..3..1..0
..1..3..0..0....0..3..1..0....0..1..3..0....0..1..3..0....1..3..1..0
..1..1..0..0....0..1..3..1....0..3..1..1....1..3..1..0....0..1..3..0
..0..1..1..1....1..1..0..1....1..1..0..1....1..0..1..1....0..1..1..0

Crossrefs

Column 1 is A179070(n+2)

Column 2 is A196140

Sequence in context: A196146 A196314 A196287 * A349784 A298200 A072648

Adjacent sequences: A196334 A196335 A196336 * A196338 A196339 A196340

Keyword

nonn,tabl

Author

R. H. Hardin Oct 01 2011

Status

approved