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A234485 Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant stress 1X1 tilings) 1

%I

%S 944,3540,13260,49784,187196,705072,2659824,10049936,38030588,

%T 144134184,547062036,2079436784,7915312712,30172181304,115169444940,

%U 440212045280,1684837886252,6456944580816,24776948509056,95196417683360

%N Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant stress 1X1 tilings)

%C Column 3 of A234490

%H R. H. Hardin, <a href="/A234485/b234485.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -43*a(n-2) -107*a(n-3) +865*a(n-4) -1033*a(n-5) -1916*a(n-6) +2822*a(n-7) +2712*a(n-8) -1332*a(n-9) -1512*a(n-10) -288*a(n-11)

%e Some solutions for n=5

%e ..0..2..1..3....0..1..1..2....0..1..1..1....2..2..2..3....2..3..2..3

%e ..3..3..0..0....1..0..2..1....2..1..3..1....3..1..3..2....1..0..1..0

%e ..3..1..0..2....2..3..3..0....2..3..3..3....2..2..2..3....1..2..1..2

%e ..2..2..3..3....2..1..3..2....2..1..3..1....0..2..0..3....2..1..2..1

%e ..1..3..2..0....1..2..2..3....1..2..2..2....1..1..1..2....3..0..3..0

%e ..1..1..2..2....3..2..0..3....0..3..1..3....3..1..3..2....3..2..3..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2013

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Last modified September 15 12:22 EDT 2019. Contains 327078 sequences. (Running on oeis4.)