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A234665 T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). 7

%I

%S 298,1820,1820,11112,9774,11112,68086,52646,52646,68086,417050,286668,

%T 250792,286668,417050,2564388,1566596,1219652,1219652,1566596,2564388,

%U 15760606,8659270,5969944,5359466,5969944,8659270,15760606,97264082

%N T(n,k) is the number of (n+1) X (k+1) 0..6 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 298 1820 11112 68086 417050 2564388

%C 1820 9774 52646 286668 1566596 8659270

%C 11112 52646 250792 1219652 5969944 29828832

%C 68086 286668 1219652 5359466 23814574 109044744

%C 417050 1566596 5969944 23814574 96408730 406314140

%C 2564388 8659270 29828832 109044744 406314140 1591037136

%C 15760606 48048220 150093796 504872642 1736939430 6340767776

%C 97264082 269752200 770712800 2403596054 7695605586 26370069748

%C 599847168 1520415050 3987209216 11568505044 34563948112

%C 3715680490 8671291020 21036841216 57131064334

%H R. H. Hardin, <a href="/A234665/b234665.txt">Table of n, a(n) for n = 1..97</a>

%F Empirical for column k:

%F k=1: a(n) = 11*a(n-1) +17*a(n-2) -492*a(n-3) +1050*a(n-4) +1260*a(n-5).

%F k=2: [order 16].

%F k=3: [order 39].

%e Some solutions for n=2, k=4:

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified January 28 14:40 EST 2023. Contains 359895 sequences. (Running on oeis4.)