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%I #6 Jun 20 2022 20:42:48
%S 268,1528,1528,8688,8380,8688,49464,45776,45776,49464,281580,250708,
%T 240020,250708,281580,1603344,1373616,1264228,1264228,1373616,1603344,
%U 9129276,7533616,6664620,6419300,6664620,7533616,9129276,51991032
%N T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%C Table starts
%C 268 1528 8688 49464 281580 1603344
%C 1528 8380 45776 250708 1373616 7533616
%C 8688 45776 240020 1264228 6664620 35209872
%C 49464 250708 1264228 6419300 32642908 166600788
%C 281580 1373616 6664620 32642908 160169432 790073988
%C 1603344 7533616 35209872 166600788 790073988 3773616876
%C 9129276 41341624 186233144 851849276 3906036120 18074063004
%C 51991032 227070556 986928332 4369637236 19401099892
%C 296077680 1247903536 5236116224 22453582476
%C 1686409896 6864076036 27831579620
%H R. H. Hardin, <a href="/A235175/b235175.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 9].
%F k=2: [order 46].
%e Some solutions for n=2, k=4:
%e 6 7 6 5 7 6 5 2 5 7 2 7 5 6 7 0 3 6 4 2
%e 5 2 5 0 6 3 6 7 6 4 0 1 3 0 5 5 4 3 5 7
%e 4 5 4 3 5 2 1 6 1 3 2 7 5 6 7 4 7 2 0 6
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 04 2014
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