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A197364 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 4,3,1,1,1 for x=0,1,2,3,4 7
1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 17, 33, 17, 1, 1, 33, 113, 113, 33, 1, 1, 89, 593, 803, 593, 89, 1, 1, 249, 2435, 5855, 5855, 2435, 249, 1, 1, 553, 10317, 41459, 79051, 41459, 10317, 553, 1, 1, 1321, 45615, 300943, 1041263, 1041263, 300943, 45615, 1321, 1, 1, 3361 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Every 0 is next to 0 4'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......9........17..........33............89..............249

.1....9.....33.......113.........593..........2435............10317

.1...17....113.......803........5855.........41459...........300943

.1...33....593......5855.......79051.......1041263.........13639968

.1...89...2435.....41459.....1041263......24799027........564930689

.1..249..10317....300943....13639968.....564930689......22225081365

.1..553..45615...2224023...178359981...13016997513.....916121380455

.1.1321.195093..16153497..2325301494..302413118055...37586117262267

.1.3361.841571.116797601.30421739045.7014256316261.1524500056348640

LINKS

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

EXAMPLE

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

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

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

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

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

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

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

CROSSREFS

Column 2 is A197344

Sequence in context: A197503 A197401 A197350 * A174266 A280554 A195722

Adjacent sequences:  A197361 A197362 A197363 * A197365 A197366 A197367

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 14 2011

STATUS

approved

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Last modified June 26 10:12 EDT 2019. Contains 324375 sequences. (Running on oeis4.)