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%I #8 Jan 23 2019 17:10:23
%S 7,49,336,2280,15324,102202,677200,4462414,29265308,191134204,
%T 1243794600,8068058218,52186113316,336696234188,2167362918200,
%U 13922979926042,89273834257404,571453869667592,3652311182519800,23309932135990218
%N Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than one.
%H R. H. Hardin, <a href="/A269535/b269535.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 26*a(n-1) - 246*a(n-2) + 896*a(n-3) + 123*a(n-4) - 6658*a(n-5) + 796*a(n-6) + 22824*a(n-7) + 23326*a(n-8) + 6924*a(n-9).
%F Empirical g.f.: x*(7 - 133*x + 784*x^2 - 674*x^3 - 6065*x^4 + 4181*x^5 + 26114*x^6 + 24478*x^7 + 7026*x^8) / ((1 - 6*x)*(1 - 20*x + 126*x^2 - 140*x^3 - 963*x^4 + 880*x^5 + 4484*x^6 + 4080*x^7 + 1154*x^8)). - _Colin Barker_, Jan 23 2019
%e Some solutions for n=6:
%e ..6. .5. .6. .4. .0. .1. .5. .4. .1. .3. .2. .1. .3. .5. .6. .3
%e ..2. .2. .0. .3. .5. .3. .2. .6. .2. .6. .4. .0. .6. .1. .1. .5
%e ..1. .6. .4. .5. .0. .0. .3. .3. .1. .2. .6. .2. .3. .6. .2. .6
%e ..6. .3. .0. .0. .1. .5. .1. .0. .2. .4. .0. .3. .1. .0. .2. .6
%e ..5. .0. .3. .3. .5. .1. .3. .1. .3. .1. .0. .2. .1. .6. .4. .0
%e ..1. .3. .4. .6. .0. .4. .1. .3. .5. .6. .2. .5. .0. .1. .2. .6
%Y Column 6 of A269537.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 29 2016
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