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A235181 Number of (n+1)X(3+1) 0..5 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) 1

%I

%S 576,1400,3240,8224,19952,52328,131120,352000,903544,2468016,6458176,

%T 17881160,47552704,133129216,359039112,1014613904,2770351216,

%U 7892016840,21785349232,62495913056,174180409272,502718703312,1412888840448

%N Number of (n+1)X(3+1) 0..5 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)

%C Column 3 of A235186

%H R. H. Hardin, <a href="/A235181/b235181.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +44*a(n-2) -133*a(n-3) -842*a(n-4) +2563*a(n-5) +9221*a(n-6) -28202*a(n-7) -64059*a(n-8) +195733*a(n-9) +296446*a(n-10) -893437*a(n-11) -937956*a(n-12) +2714749*a(n-13) +2064161*a(n-14) -5442684*a(n-15) -3205526*a(n-16) +7001040*a(n-17) +3522128*a(n-18) -5502080*a(n-19) -2622832*a(n-20) +2452848*a(n-21) +1173648*a(n-22) -555264*a(n-23) -271584*a(n-24) +48384*a(n-25) +24192*a(n-26)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2014

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Last modified May 22 00:02 EDT 2022. Contains 353931 sequences. (Running on oeis4.)