A197679 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 2,0,1,0,1 for x=0,1,2,3,4

1, 3, 3, 4, 9, 4, 5, 16, 16, 5, 9, 33, 57, 33, 9, 16, 73, 202, 202, 73, 16, 25, 160, 721, 1111, 721, 160, 25, 39, 361, 2557, 5639, 5639, 2557, 361, 39, 64, 835, 8930, 29190, 45162, 29190, 8930, 835, 64, 105, 1966, 31326, 153715, 358209, 358209, 153715, 31326, 1966

Offset

1,2

Comments

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

Table starts

...1....3......4........5..........9..........16............25..............39

...3....9.....16.......33.........73.........160...........361.............835

...4...16.....57......202........721........2557..........8930...........31326

...5...33....202.....1111.......5639.......29190........153715..........817865

...9...73....721.....5639......45162......358209.......2871646........22955155

..16..160...2557....29190.....358209.....4268977......51167876.......612121676

..25..361...8930...153715....2871646....51167876.....924904506.....16683567785

..39..835..31326...817865...22955155...612121676...16683567785....452341382317

..64.1966.110217..4363976..183536379..7361707007..302284521370..12312981845426

.105.4703.387627.23310791.1469158622.88656931195.5474405589906.335130309920001

Links

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

Example

Some solutions containing all values 0 to 4 for n=6 k=4
..1..0..0..0....1..1..1..1....1..2..2..1....2..1..0..0....0..0..0..1
..1..0..3..0....0..0..0..0....0..1..1..0....1..4..1..1....3..0..3..2
..1..1..1..0....0..3..0..0....0..1..4..1....0..1..1..1....0..0..0..1
..0..1..1..0....0..1..1..1....0..1..1..1....0..3..0..0....1..1..1..1
..1..1..4..1....1..4..1..1....0..3..0..0....3..0..3..1....1..4..1..0
..1..0..1..2....2..1..0..0....0..0..0..0....0..0..0..1....0..1..1..0

Crossrefs

Column 1 is A195971

Column 2 is A197531

Sequence in context: A195978 A197280 A197537 * A196300 A196218 A196685

Adjacent sequences: A197676 A197677 A197678 * A197680 A197681 A197682

Keyword

nonn,tabl

Author

R. H. Hardin Oct 17 2011

Status

approved