A196493 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 2,3,0,1,4 for x=0,1,2,3,4

1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 9, 5, 1, 1, 9, 23, 23, 9, 1, 1, 17, 69, 99, 69, 17, 1, 1, 31, 199, 435, 435, 199, 31, 1, 1, 57, 553, 1821, 2862, 1821, 553, 57, 1, 1, 105, 1563, 7761, 18661, 18661, 7761, 1563, 105, 1, 1, 193, 4439, 33445, 123151, 188603, 123151, 33445, 4439

Offset

1,8

Comments

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

Table starts

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

.1...1.....3......5........9.........17...........31............57

.1...3.....9.....23.......69........199..........553..........1563

.1...5....23.....99......435.......1821.........7761.........33445

.1...9....69....435.....2862......18661.......123151........806609

.1..17...199...1821....18661.....188603......1875863......18685389

.1..31...553...7761...123151....1875863.....28338246.....434666223

.1..57..1563..33445...806609...18685389....434666223...10179007465

.1.105..4439.142899..5276054..187248247...6656162368..237074284215

.1.193.12591.610111.34627688.1876363069.101518856651.5528402854617

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Example

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

Crossrefs

Column 2 is A000213

Sequence in context: A177407 A135669 A132729 * A251634 A196989 A034871

Adjacent sequences: A196490 A196491 A196492 * A196494 A196495 A196496

Keyword

nonn,tabl

Author

R. H. Hardin Oct 03 2011

Status

approved