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

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

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 A374332 A171250

Adjacent sequences: A185537 A185538 A185539 * A185541 A185542 A185543

Keyword

nonn,tabl

Author

R. H. Hardin Jan 30 2011

Status

approved