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 A235092 Number of (n+1) X (2+1) 0..5 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). 1

%I

%S 256,656,1728,4820,13624,39884,117488,354588,1072888,3306172,10189840,

%T 31866620,99499864,314460540,990959472,3155587516,10009630136,

%U 32048121852,102135500880,328299662204,1049814687640,3384204174332

%N Number of (n+1) X (2+1) 0..5 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).

%H R. H. Hardin, <a href="/A235092/b235092.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +20*a(n-2) -178*a(n-3) -45*a(n-4) +2028*a(n-5) -1568*a(n-6) -11316*a(n-7) +15017*a(n-8) +32278*a(n-9) -57324*a(n-10) -42818*a(n-11) +104201*a(n-12) +14456*a(n-13) -82056*a(n-14) +10920*a(n-15) +16380*a(n-16).

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 2 of A235098.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014

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Last modified December 9 10:28 EST 2022. Contains 358700 sequences. (Running on oeis4.)