A197457 - OEIS

A197457

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

1, 1, 1, 2, 7, 2, 3, 10, 10, 3, 5, 23, 31, 23, 5, 8, 57, 84, 84, 57, 8, 13, 122, 290, 583, 290, 122, 13, 21, 275, 923, 2233, 2233, 923, 275, 21, 34, 623, 2887, 10758, 15825, 10758, 2887, 623, 34, 55, 1394, 9216, 53337, 104318, 104318, 53337, 9216, 1394, 55, 89, 3133

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OFFSET

1,4

COMMENTS

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

Table starts

..1....1.....2.......3.........5...........8...........13.............21

..1....7....10......23........57.........122..........275............623

..2...10....31......84.......290.........923.........2887...........9216

..3...23....84.....583......2233.......10758........53337.........252125

..5...57...290....2233.....15825......104318.......738363........5142371

..8..122...923...10758....104318.....1097175.....11014567......112906556

.13..275..2887...53337....738363....11014567....168397471.....2499153985

.21..623..9216..252125...5142371...112906556...2499153985....55114740895

.34.1394.29288.1209824..35673015..1151692226..37543948067..1208430308424

.55.3133.92868.5768661.248507899.11746179526.563650708913.26627943671581

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

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

..0..2..0..0....0..0..2..0....0..0..2..0....0..2..0..0....2..0..0..2

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

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

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

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

..0..0..0..0....0..2..0..2....0..2..0..0....0..2..0..2....0..0..2..0

CROSSREFS

Column 1 is A000045

Column 2 is A196316

Sequence in context: A196653 A196343 A196322 * A197307 A196974 A197561

Adjacent sequences: A197454 A197455 A197456 * A197458 A197459 A197460

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 15 2011

STATUS

approved