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A235258 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 7, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
184, 744, 744, 2672, 2592, 2672, 10820, 8328, 8328, 10820, 39680, 30300, 24232, 30300, 39680, 161060, 102000, 80812, 80812, 102000, 161060, 600928, 382036, 251656, 247368, 251656, 382036, 600928, 2443916, 1330480, 878988, 717452, 717452 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......184......744......2672.....10820.....39680.....161060.....600928

......744.....2592......8328.....30300....102000.....382036....1330480

.....2672.....8328.....24232.....80812....251656.....878988....2873128

....10820....30300.....80812....247368....717452....2337832....7200188

....39680...102000....251656....717452...1951752....5990204...17480904

...161060...382036....878988...2337832...5990204...17318888...47995084

...600928..1330480...2873128...7200188..17480904...47995084..126993640

..2443916..5080484..10362212..24526880..56590772..147612912..373324260

..9247456.18163048..35132248..79038828.174061880..434010540.1053946488

.37667316.70306060.129681452.278130808.586251132.1398866408.3264942732

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..160

FORMULA

Empirical for column k (the k=4..5 recurrence also works for k=1..3; apparently all rows and columns satisfy the same order 58 recurrence):

k=1: a(n) = 43*a(n-2) -617*a(n-4) +3073*a(n-6) -1762*a(n-8) +264*a(n-10)

k=2: [order 40]

k=3: [order 57]

k=4..5: [same order 58 recurrence]

EXAMPLE

Some solutions for n=3 k=4

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

..1..5..3..6..3....2..6..3..5..2....1..4..3..4..3....5..1..4..2..6

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

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

CROSSREFS

Sequence in context: A061657 A217301 A239457 * A235251 A233676 A234152

Adjacent sequences:  A235255 A235256 A235257 * A235259 A235260 A235261

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 05 2014

STATUS

approved

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Last modified July 25 02:42 EDT 2021. Contains 346282 sequences. (Running on oeis4.)