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A234818 Number of (n+1)X(3+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant stress 1X1 tilings) 1

%I

%S 2380,6282,15224,47136,131704,443220,1352816,4791948,15484360,

%T 56779452,190677584,716514876,2473383304,9461029980,33344399696,

%U 129230455548,462955104520,1811799391452,6576906075344,25926079006716,95144821863304

%N Number of (n+1)X(3+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant stress 1X1 tilings)

%C Column 3 of A234823

%H R. H. Hardin, <a href="/A234818/b234818.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +60*a(n-2) -620*a(n-3) -1210*a(n-4) +20740*a(n-5) +1580*a(n-6) -392180*a(n-7) +353267*a(n-8) +4606324*a(n-9) -7135240*a(n-10) -34677440*a(n-11) +72387960*a(n-12) +165390560*a(n-13) -443380480*a(n-14) -464032320*a(n-15) +1696321584*a(n-16) +566607168*a(n-17) -3948347520*a(n-18) +465384960*a(n-19) +5084985600*a(n-20) -2142028800*a(n-21) -2757888000*a(n-22) +1741824000*a(n-23)

%e Some solutions for n=5

%e ..4..3..4..0....5..0..5..0....3..6..3..6....3..6..2..6....3..5..3..5

%e ..0..5..0..2....1..2..1..2....4..1..4..1....4..1..3..1....6..2..6..2

%e ..4..3..4..0....5..0..5..0....0..3..0..3....3..6..2..6....0..2..0..2

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

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

%e ..0..5..0..2....1..2..1..2....3..0..3..0....3..0..2..0....6..2..6..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2013

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Last modified May 28 18:24 EDT 2022. Contains 354122 sequences. (Running on oeis4.)