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A278094 T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. 8
0, 0, 0, 0, 2, 0, 0, 3, 3, 0, 0, 10, 16, 10, 0, 0, 27, 66, 66, 27, 0, 0, 76, 351, 670, 351, 76, 0, 0, 214, 1758, 6285, 6285, 1758, 214, 0, 0, 599, 9033, 61123, 114028, 61123, 9033, 599, 0, 0, 1683, 46159, 588464, 2066549, 2066549, 588464, 46159, 1683, 0, 0, 4721, 236245 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0....0.......0.........0............0..............0.................0

.0....2.......3........10...........27.............76...............214

.0....3......16........66..........351...........1758..............9033

.0...10......66.......670.........6285..........61123............588464

.0...27.....351......6285.......114028........2066549..........37564017

.0...76....1758.....61123......2066549.......70793904........2422349439

.0..214....9033....588464.....37564017.....2422349439......156188151088

.0..599...46159...5678912....682015651....82874815951....10066675051315

.0.1683..236245..54772100..12386272982..2835664463158...648924377800150

.0.4721.1208622.528291059.224933023893.97019475542749.41828515552220496

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

k=2: a(n) = a(n-1) +4*a(n-2) +3*a(n-3) for n>5

k=3: [order 13] for n>16

k=4: [order 33] for n>35

k=5: [order 86] for n>90

EXAMPLE

Some solutions for n=4 k=4

..0..0..1..1. .0..1..1..0. .0..1..1..0. .0..1..0..1. .0..0..1..1

..1..1..1..0. .0..0..1..0. .0..0..0..0. .0..1..0..1. .1..0..1..0

..1..0..0..0. .0..0..1..1. .0..1..1..1. .1..0..1..1. .1..0..1..0

..0..1..1..1. .1..1..0..0. .0..0..0..1. .1..1..0..0. .1..1..1..1

CROSSREFS

Sequence in context: A334218 A342984 A342985 * A245487 A074734 A174956

Adjacent sequences:  A278091 A278092 A278093 * A278095 A278096 A278097

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 11 2016

STATUS

approved

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Last modified September 25 06:22 EDT 2022. Contains 356959 sequences. (Running on oeis4.)