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A234163 Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). 1

%I #6 Jun 19 2022 01:44:02

%S 766,4970,32070,208412,1353986,8846884,57811490,380032300,2498158614,

%T 16525702136,109291218482,727617468480,4841329246098,32438005700384,

%U 217127834616758,1463930354942564,9855977995905954,66852413995644068

%N Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234163/b234163.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) +16*a(n-2) -1651*a(n-3) +5750*a(n-4) +45373*a(n-5) -252572*a(n-6) -278797*a(n-7) +2737923*a(n-8) +518738*a(n-9) -11300724*a(n-10) +169584*a(n-11) +18786600*a(n-12) -2246544*a(n-13) -13289184*a(n-14) +2960064*a(n-15) +3359232*a(n-16) -1119744*a(n-17).

%e Some solutions for n=3:

%e 3 1 3 0 0 0 3 4 2 2 0 2 1 0 4 2 4 4 4 2 3

%e 2 2 2 1 3 1 1 4 4 0 0 0 4 1 3 2 2 4 3 3 2

%e 2 0 2 3 3 3 1 2 4 4 2 4 2 1 1 4 2 2 4 2 3

%e 2 2 2 0 2 4 3 2 2 4 4 4 3 4 2 2 2 4 3 3 2

%Y Column 2 of A234169.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013

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Last modified September 19 09:46 EDT 2024. Contains 376008 sequences. (Running on oeis4.)