A197401 - OEIS

A197401

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

1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 17, 17, 17, 1, 1, 33, 81, 81, 33, 1, 1, 89, 257, 547, 257, 89, 1, 1, 249, 1003, 2571, 2571, 1003, 249, 1, 1, 553, 3417, 13397, 19603, 13397, 3417, 553, 1, 1, 1321, 12673, 78101, 159463, 159463, 78101, 12673, 1321, 1, 1, 3361, 46165, 423957

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OFFSET

1,8

COMMENTS

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

Table starts

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

.1....1......9.......17........33..........89...........249.............553

.1....9.....17.......81.......257........1003..........3417...........12673

.1...17.....81......547......2571.......13397.........78101..........423957

.1...33....257.....2571.....19603......159463.......1353761........11871747

.1...89...1003....13397....159463.....1982913......26456233.......338629635

.1..249...3417....78101...1353761....26456233.....534127371.....10702459629

.1..553..12673...423957..11871747...338629635...10702459629....330460207137

.1.1321..46165..2255611..99322949..4353024153..210165095895...9913545271603

.1.3361.168569.12173719.832736311.55929879939.4163535286913.298898062918965

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..179

EXAMPLE

Some solutions containing all values 0 to 4 for n=6 k=4

..0..1..3..1....0..2..1..2....0..0..0..0....1..0..0..0....0..1..3..1

..1..4..1..2....0..1..3..1....0..0..0..0....3..1..0..0....1..4..1..0

..3..1..2..0....2..1..3..1....0..0..2..1....1..0..2..1....3..1..0..1

..1..0..0..0....1..4..1..2....0..0..1..3....0..0..1..3....1..0..1..3

..0..1..0..0....3..1..0..0....0..1..4..1....2..1..4..1....0..0..2..1

..1..3..1..0....1..2..0..0....1..3..1..0....1..3..1..2....0..0..0..0

CROSSREFS

Column 2 is A197344

Sequence in context: A014726 A277069 A197503 * A197350 A197364 A338217

Adjacent sequences: A197398 A197399 A197400 * A197402 A197403 A197404

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 14 2011

STATUS

approved