A196641 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 1,4,2,0,3 for x=0,1,2,3,4

1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 10, 21, 10, 1, 1, 26, 62, 62, 26, 1, 1, 65, 232, 327, 232, 65, 1, 1, 161, 780, 1927, 1927, 780, 161, 1, 1, 403, 2716, 10708, 17518, 10708, 2716, 403, 1, 1, 1006, 9427, 61040, 154629, 154629, 61040, 9427, 1006, 1, 1, 2511, 32612, 344949

Offset

1,5

Comments

Every 0 is next to 0 1's, every 1 is next to 1 4's, every 2 is next to 2 2'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....2......5.......10........26..........65...........161.............403

.1....5.....21.......62.......232.........780..........2716............9427

.1...10.....62......327......1927.......10708.........61040..........344949

.1...26....232.....1927.....17518......154629.......1359317........12023695

.1...65....780....10708....154629.....2166536......30213746.......423781213

.1..161...2716....61040...1359317....30213746.....665532327.....14699136810

.1..403...9427...344949..12023695...423781213...14699136810....513774394191

.1.1006..32612..1953280.106039299..5929501986..324580294214..17926995334934

.1.2511.113008.11058838.936657625.83127041136.7174373488843.626287631983705

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

Some solutions for n=6 k=4
..0..0..2..2....0..0..0..0....2..2..0..0....2..2..2..2....0..0..0..0
..0..0..2..2....0..0..0..3....2..2..3..0....2..0..0..2....0..0..3..0
..0..0..3..0....0..0..0..0....0..0..0..0....2..2..2..2....0..0..3..0
..0..0..0..0....0..3..3..0....0..3..3..0....0..0..0..0....3..0..0..0
..0..2..2..0....0..0..0..0....0..0..0..0....0..3..2..2....0..3..3..0
..0..2..2..0....0..0..0..0....0..0..0..0....0..0..2..2....0..0..0..0

Crossrefs

Column 2 is A196630

Column 3 is A196631

Column 4 is A196632

Sequence in context: A197242 A128564 A196636 * A197090 A008518 A264862

Adjacent sequences: A196638 A196639 A196640 * A196642 A196643 A196644

Keyword

nonn,tabl

Author

R. H. Hardin Oct 04 2011

Status

approved