A196967 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 4,1,2,0,3 for x=0,1,2,3,4

1, 2, 2, 3, 6, 3, 4, 15, 15, 4, 6, 48, 101, 48, 6, 9, 145, 562, 562, 145, 9, 13, 449, 3145, 5465, 3145, 449, 13, 19, 1397, 17966, 58639, 58639, 17966, 1397, 19, 28, 4342, 102080, 634241, 1210968, 634241, 102080, 4342, 28, 41, 13500, 579654, 6764386, 24281566

Offset

1,2

Comments

Every 0 is next to 0 4's, every 1 is next to 1 1'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.....2........3..........4.............6................9.................13

..2.....6.......15.........48...........145..............449...............1397

..3....15......101........562..........3145............17966.............102080

..4....48......562.......5465.........58639...........634241............6764386

..6...145.....3145......58639.......1210968.........24281566..........482839574

..9...449....17966.....634241......24281566........906566345........33928210026

.13..1397...102080....6764386.....482839574......33928210026......2383058555507

.19..4342...579654...72281541....9688062164....1276381991598....167702841476961

.28.13500..3294963..773637307..194158517334...47878302949552..11786999591610885

.41.41981.18723516.8274218119.3887864391419.1796412252140585.828960396306273892

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0
..1..0..3..0....3..0..0..3....0..0..0..1....0..1..1..0....0..0..1..1
..1..0..1..0....0..1..1..0....0..3..0..0....1..0..0..3....1..1..0..0
..0..3..1..0....0..0..3..0....0..1..1..0....1..0..0..0....2..2..0..0
..1..0..3..0....0..0..0..0....0..0..2..2....0..0..0..1....2..2..0..0
..1..0..0..0....0..0..1..1....0..0..2..2....0..0..0..1....0..0..1..1

Crossrefs

Column 1 is A000930(n+1)

Sequence in context: A197079 A208340 A308503 * A210859 A209420 A317449

Adjacent sequences: A196964 A196965 A196966 * A196968 A196969 A196970

Keyword

nonn,tabl

Author

R. H. Hardin Oct 08 2011

Status

approved