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%I #7 Jun 20 2022 20:27:39
%S 160,728,728,3264,2648,3264,15008,9616,9616,15008,67840,37352,28496,
%T 37352,67840,315008,144512,94432,94432,144512,315008,1434624,593048,
%U 315024,274520,315024,593048,1434624,6722048,2414992,1148176,808160
%N T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).
%C Table starts
%C 160 728 3264 15008 67840 315008 1434624
%C 728 2648 9616 37352 144512 593048 2414992
%C 3264 9616 28496 94432 315024 1148176 4196144
%C 15008 37352 94432 274520 808160 2646344 8731840
%C 67840 144512 315024 808160 2113072 6250544 18735792
%C 315008 593048 1148176 2646344 6250544 16899896 46510768
%C 1434624 2414992 4196144 8731840 18735792 46510768 118121744
%C 6722048 10359416 16491760 31384136 61854032 142026104 335161744
%C 30822400 43905728 64635984 113059808 205847920 438922928 966751344
%C 145614848 194994488 269420656 437774312 742330832 1476803288 3047922832
%H R. H. Hardin, <a href="/A234658/b234658.txt">Table of n, a(n) for n = 1..178</a>
%F Empirical for column k:
%F k=1: a(n) = 4*a(n-1) +44*a(n-2) -176*a(n-3) -480*a(n-4) +1920*a(n-5).
%F k=2: [order 15].
%F k=3: [order 21].
%F k=4: [order 23].
%e Some solutions for n=3, k=4:
%e 4 5 1 4 4 5 0 4 0 3 3 1 5 5 1 4 0 2 5 5
%e 4 1 1 0 4 3 2 2 2 1 2 4 4 0 0 3 3 1 0 4
%e 4 5 1 4 4 5 0 4 0 3 2 0 4 4 0 4 0 2 5 5
%e 0 5 5 4 0 4 3 3 3 2 2 4 4 0 0 4 4 2 1 5
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 29 2013
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