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A234702 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 5 (constant stress 1X1 tilings) 6
408, 2628, 2628, 16848, 13952, 16848, 109224, 74308, 74308, 109224, 704160, 409268, 329984, 409268, 704160, 4594320, 2261220, 1558600, 1558600, 2261220, 4594320, 29782080, 12903164, 7424496, 6480632, 7424496, 12903164, 29782080, 195532704 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........408........2628.......16848......109224......704160.....4594320

.......2628.......13952.......74308......409268.....2261220....12903164

......16848.......74308......329984.....1558600.....7424496....37338544

.....109224......409268.....1558600.....6480632....27355272...123900992

.....704160.....2261220.....7424496....27355272...102856704...421924272

....4594320....12903164....37338544...123900992...421924272..1588256456

...29782080....73793620...189345872...568426072..1760111424..6105726016

..195532704...434990348..1006857472..2764737872..7867555584.25353440600

.1274237568..2565773508..5389971408.13583184744.35635123680

.8416415808.15562814252.30077051488.70136986928

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..96

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) +90*a(n-2) -540*a(n-3) -2016*a(n-4) +12096*a(n-5)

k=2: [order 15]

k=3: [order 31]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A281859 A067674 A157263 * A234697 A337795 A183717

Adjacent sequences:  A234699 A234700 A234701 * A234703 A234704 A234705

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved

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Last modified May 27 11:47 EDT 2022. Contains 354097 sequences. (Running on oeis4.)