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A235248 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
210, 906, 906, 3746, 3146, 3746, 16150, 10866, 10866, 16150, 66874, 41246, 31858, 41246, 66874, 288510, 152178, 108374, 108374, 152178, 288510, 1195458, 599342, 359962, 338282, 359962, 599342, 1195458, 5161934, 2282514, 1305758, 1039502 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......210.......906......3746.....16150......66874.....288510....1195458

......906......3146.....10866.....41246.....152178.....599342....2282514

.....3746.....10866.....31858....108374.....359962....1305758....4596034

....16150.....41246....108374....338282....1039502....3521538...11626526

....66874....152178....359962...1039502....2965442....9463558...29462346

...288510....599342...1305758...3521538....9463558...28726138...85432998

..1195458...2282514...4596034..11626526...29462346...85432998..243061138

..5161934...9184758..17276982..41097666...98737622..274327842..751070550

.21400266..35696098..63001946.141434374..322636258..861350910.2271413066

.92486622.145885710.243085134.515121002.1117067382.2864080130.7286424566

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

FORMULA

Empirical for column k (the k=3..4 recurrence also works for k=1..2; apparently all rows and columns satisfy the same order 61 recurrence):

k=1: [linear recurrence of order 8]

k=2: [order 35]

k=3..4: [same order 61 recurrence]

EXAMPLE

Some solutions for n=3 k=4

..7..4..7..4..5....6..1..2..1..3....2..1..2..0..3....6..1..6..2..6

..2..5..2..5..0....4..5..0..5..1....1..6..1..5..2....4..5..4..6..4

..3..0..3..0..1....5..0..1..0..2....5..4..5..3..6....7..2..7..3..7

..4..7..4..7..2....6..7..2..7..3....2..7..2..6..3....4..5..4..6..4

CROSSREFS

Sequence in context: A163263 A009127 A158559 * A235241 A046302 A217532

Adjacent sequences:  A235245 A235246 A235247 * A235249 A235250 A235251

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 05 2014

STATUS

approved

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Last modified October 27 07:47 EDT 2021. Contains 348272 sequences. (Running on oeis4.)