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A235175 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 4, with no adjacent elements equal (constant stress tilted 1X1 tilings) 7
268, 1528, 1528, 8688, 8380, 8688, 49464, 45776, 45776, 49464, 281580, 250708, 240020, 250708, 281580, 1603344, 1373616, 1264228, 1264228, 1373616, 1603344, 9129276, 7533616, 6664620, 6419300, 6664620, 7533616, 9129276, 51991032 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........268.......1528........8688.......49464......281580.....1603344

.......1528.......8380.......45776......250708.....1373616.....7533616

.......8688......45776......240020.....1264228.....6664620....35209872

......49464.....250708.....1264228.....6419300....32642908...166600788

.....281580....1373616.....6664620....32642908...160169432...790073988

....1603344....7533616....35209872...166600788...790073988..3773616876

....9129276...41341624...186233144...851849276..3906036120.18074063004

...51991032..227070556...986928332..4369637236.19401099892

..296077680.1247903536..5236116224.22453582476

.1686409896.6864076036.27831579620

LINKS

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

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 46]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A279184 A237228 A190352 * A235169 A352474 A330413

Adjacent sequences:  A235172 A235173 A235174 * A235176 A235177 A235178

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 04 2014

STATUS

approved

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Last modified May 17 14:19 EDT 2022. Contains 353746 sequences. (Running on oeis4.)