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A185540 T(n,k)=1/6 the number of nXk 0..5 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors 6
0, 1, 1, 1, 11, 1, 6, 110, 110, 6, 11, 1155, 2990, 1155, 11, 41, 12105, 127570, 127570, 12105, 41, 96, 127190, 4403225, 17526450, 4403225, 127190, 96, 301, 1336205, 167398110, 2241330570, 2241330570, 167398110, 1336205, 301, 781, 14039455 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

....0.........1............1..............6..............11..............41

....1........11..........110...........1155...........12105..........127190

....1.......110.........2990.........127570.........4403225.......167398110

....6......1155.......127570.......17526450......2241330570....295044602325

...11.....12105......4403225.....2241330570....994633804270.468362874353295

...41....127190....167398110...295044602325.468362874353295

...96...1336205...6079401960.38418831900875

..301..14039455.225574291125

..781.147510990

.2286

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..59

EXAMPLE

Some solutions for 4X3 with a(1,1)=0

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

..0..0..5....5..5..1....4..0..2....3..4..1....0..4..1....0..3..3....0..1..0

..1..5..5....0..2..4....4..4..3....3..4..1....4..4..0....1..0..0....0..1..0

..1..4..4....0..2..4....1..1..3....3..4..4....2..2..0....1..3..3....0..5..5

CROSSREFS

Column 1 is A015440(n-2)

Sequence in context: A010199 A010200 A086320 * A095193 A171250 A010201

Adjacent sequences:  A185537 A185538 A185539 * A185541 A185542 A185543

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 30 2011

STATUS

approved

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Last modified January 19 06:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)