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A235198 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
136, 512, 512, 1880, 1544, 1880, 7072, 4724, 4724, 7072, 26040, 15604, 12176, 15604, 26040, 98080, 51144, 35868, 35868, 51144, 98080, 361688, 176104, 105208, 96848, 105208, 176104, 361688, 1364512, 597712, 333340, 261760, 261760, 333340, 597712 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......136......512.....1880.....7072.....26040.....98080....361688....1364512

......512.....1544.....4724....15604.....51144....176104....597712....2109748

.....1880.....4724....12176....35868....105208....333340...1043256....3446068

.....7072....15604....35868....96848....261760....774140...2263256....7020392

....26040....51144...105208...261760....652872...1816160...4984584...14642048

....98080...176104...333340...774140...1816160...4812096..12604104...35505020

...361688...597712..1043256..2263256...4984584..12604104..31498952...85424552

..1364512..2109748..3446068..7020392..14642048..35505020..85424552..224694240

..5038200..7324940.11230320.21497244..42396520..98577596.227963432..582078148

.19038496.26321996.38241780.68985912.129109408.287939516.642257224.1596252448

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

FORMULA

Empirical for column k (the k=3..6 recurrence works also for k=1..2; apparently all rows and columns satisfy the same order 39 recurrence):

k=1: a(n) = 30*a(n-2) -257*a(n-4) +468*a(n-6)

k=2: [order 23]

k=3..6: [same order 39 recurrence]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

..0..3..1..4..0....1..5..2..3..2....1..4..2..4..1....0..3..0..4..1

CROSSREFS

Sequence in context: A183635 A116223 A124241 * A235191 A076331 A183901

Adjacent sequences:  A235195 A235196 A235197 * A235199 A235200 A235201

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 04 2014

STATUS

approved

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Last modified October 21 23:47 EDT 2020. Contains 337948 sequences. (Running on oeis4.)