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A234881 Number of (n+1) X (7+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1

%I

%S 2048,5684,10240,44540,87312,518988,1035792,7389460,14782992,

%T 115949340,231949520,1905124356,3810241424,31990186028,63971965200,

%U 542748911188,1085288713808,9254225370188,18504385966768,158172364558052

%N Number of (n+1) X (7+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234881/b234881.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +77*a(n-2) -77*a(n-3) -2641*a(n-4) +2641*a(n-5) +53691*a(n-6) -53691*a(n-7) -725059*a(n-8) +725059*a(n-9) +6900779*a(n-10) -6900779*a(n-11) -47896812*a(n-12) +47896812*a(n-13) +247376416*a(n-14) -247376416*a(n-15) -961430772*a(n-16) +961430772*a(n-17) +2825059980*a(n-18) -2825059980*a(n-19) -6271823936*a(n-20) +6271823936*a(n-21) +10458154064*a(n-22) -10458154064*a(n-23) -12942372832*a(n-24) +12942372832*a(n-25) +11648212736*a(n-26) -11648212736*a(n-27) -7373325696*a(n-28) +7373325696*a(n-29) +3099131904*a(n-30) -3099131904*a(n-31) -774014976*a(n-32) +774014976*a(n-33) +86704128*a(n-34) -86704128*a(n-35).

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 7 of A234882.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2014

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Last modified August 9 05:53 EDT 2022. Contains 356016 sequences. (Running on oeis4.)