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A240774 T(n,k)=Number of nXk 0..3 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..3 introduced in row major order 5
1, 1, 1, 2, 5, 2, 5, 28, 28, 5, 14, 196, 475, 196, 14, 41, 1418, 8319, 8319, 1418, 41, 122, 10314, 147231, 357943, 147231, 10314, 122, 365, 75138, 2610234, 15484811, 15484811, 2610234, 75138, 365, 1094, 547557, 46306024, 671539712, 1641787181 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

....1........1............2..............5...............14................41

....1........5...........28............196.............1418.............10314

....2.......28..........475...........8319...........147231...........2610234

....5......196.........8319.........357943.........15484811.........671539712

...14.....1418.......147231.......15484811.......1641787181......174833637032

...41....10314......2610234......671539712.....174833637032....45829139264557

..122....75138.....46306024....29164866719...18668613617376.12065218512657635

..365...547557....821735065..1267677501494.1996696858027452

.1094..3990640..14584690111.55127359226486

.3281.29085026.258881423308

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2) for n>3

k=2: [order 10] for n>11

k=3: [order 34] for n>35

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A007051(n-2)

Sequence in context: A269920 A240706 A240642 * A198604 A198253 A159989

Adjacent sequences:  A240771 A240772 A240773 * A240775 A240776 A240777

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 12 2014

STATUS

approved

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Last modified June 5 09:58 EDT 2020. Contains 334840 sequences. (Running on oeis4.)