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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

%I

%S 80,272,272,856,980,856,2896,3164,3164,2896,9192,11984,10640,11984,

%T 9192,31064,40856,43680,43680,40856,31064,98696,159004,163352,209740,

%U 163352,159004,98696,333456,551048,706992,884976,884976,706992,551048,333456

%N 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)

%C Table starts

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

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

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

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

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

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

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

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

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

%C .3579832.30731272.218388912.2929812696.33616093680.598458783660.8760287132596

%H R. H. Hardin, <a href="/A234890/b234890.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

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

%F k=2: [order 27]

%F k=3: [order 46]

%e Some solutions for n=3 k=4

%e ..2..3..1..2..1....1..3..1..3..0....5..2..4..1..5....1..3..1..0..4

%e ..3..5..2..4..2....2..5..2..5..1....3..1..2..0..3....2..5..4..2..5

%e ..1..2..0..3..0....1..3..1..3..0....4..3..5..2..4....0..4..2..1..3

%e ..2..4..1..5..3....2..5..4..5..1....3..1..4..0..3....2..5..4..2..5

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 01 2014

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Last modified May 17 08:05 EDT 2022. Contains 353741 sequences. (Running on oeis4.)