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A234991 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
90, 370, 370, 1640, 1490, 1640, 7554, 6908, 6908, 7554, 35072, 35598, 34608, 35598, 35072, 163416, 189200, 206556, 206556, 189200, 163416, 762002, 1026784, 1303920, 1525462, 1303920, 1026784, 762002, 3554334, 5628414, 8616068, 12242044 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......90.......370........1640.........7554..........35072...........163416

......370......1490........6908........35598.........189200..........1026784

.....1640......6908.......34608.......206556........1303920..........8616068

.....7554.....35598......206556......1525462.......12242044........105948984

....35072....189200.....1303920.....12242044......128653892.......1507413164

...163416...1026784.....8616068....105948984.....1507413164......24740904388

...762002...5628414....58209538....951853990....18608169852.....433293595046

..3554334..31099742...400984904...8853338774...241470307440....8076317372004

.16580250.172847074..2799816642..84210673350..3223991647750..155302530533130

.77345792.965377320.19780619488.816873730308.44160189525640.3074015131838128

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 8]

k=2: [order 28]

k=3: [order 91]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A245866 A157888 A201103 * A234984 A158490 A304618

Adjacent sequences:  A234988 A234989 A234990 * A234992 A234993 A234994

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 02 2014

STATUS

approved

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Last modified November 29 21:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)