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A234890 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 1, with no adjacent elements equal (constant stress tilted 1X1 tilings) 8
80, 272, 272, 856, 980, 856, 2896, 3164, 3164, 2896, 9192, 11984, 10640, 11984, 9192, 31064, 40856, 43680, 43680, 40856, 31064, 98696, 159004, 163352, 209740, 163352, 159004, 98696, 333456, 551048, 706992, 884976, 884976, 706992, 551048, 333456 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......80......272.......856.......2896........9192........31064.........98696

.....272......980......3164......11984.......40856.......159004........551048

.....856.....3164.....10640......43680......163352.......706992.......2734000

....2896....11984.....43680.....209740......884976......4616452......20512760

....9192....40856....163352.....884976.....4318800.....26272908.....138216800

...31064...159004....706992....4616452....26272908....198069616....1249781316

...98696...551048...2734000...20512760...138216800...1249781316....9589218960

..333456..2185372..12203144..112743844...902409352..10302188956...97684673000

.1059616..7639428..47902816..512846088..4907082840..68182126892..792839750040

.3579832.30731272.218388912.2929812696.33616093680.598458783660.8760287132596

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 14*a(n-2) -37*a(n-4) +21*a(n-6)

k=2: [order 27]

k=3: [order 46]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A235098 A235091 A306434 * A157912 A234883 A194646

Adjacent sequences:  A234887 A234888 A234889 * A234891 A234892 A234893

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 01 2014

STATUS

approved

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Last modified January 19 22:12 EST 2022. Contains 350466 sequences. (Running on oeis4.)