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A235308 Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). 1

%I #9 Jun 20 2022 21:28:46

%S 12018,18662,27602,49574,83394,168998,319826,711206,1486338,3544742,

%T 8011922,20148134,48342594,126648998,317958866,860180006,2235976578,

%U 6204457382,16571892242,46910749094,128009555394,368013490598

%N Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235308/b235308.txt">Table of n, a(n) for n = 1..171</a>

%F Empirical: a(n) = 4*a(n-1) +25*a(n-2) -112*a(n-3) -231*a(n-4) +1260*a(n-5) +875*a(n-6) -7280*a(n-7) -224*a(n-8) +22736*a(n-9) -7980*a(n-10) -36288*a(n-11) +21456*a(n-12) +23040*a(n-13) -17280*a(n-14).

%e Some solutions for n=5:

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

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

%e 0 4 2 5 1 4 0 2 5 1 5 0 5 0 5 1 4 1 4 1 5

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

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

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

%Y Column 6 of A235310.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified April 17 22:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)