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%I #7 Jan 24 2019 11:44:45
%S 7,49,343,2371,16237,110339,745013,5003189,33444515,222678103,
%T 1477520701,9774231593,64488659975,424492364229,2788409406459,
%U 18282749345115,119676718166685,782230745611877,5106010760180351,33289477289878243
%N Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by more than one.
%H R. H. Hardin, <a href="/A269581/b269581.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 30*a(n-1) - 356*a(n-2) + 2064*a(n-3) - 5618*a(n-4) + 4356*a(n-5) + 4964*a(n-6) + 480*a(n-7) - 143*a(n-8) - 6*a(n-9).
%F Empirical g.f.: x*(7 - 161*x + 1365*x^2 - 4923*x^3 + 5405*x^4 + 4143*x^5 + 253*x^6 - 111*x^7 - 4*x^8) / ((1 - 6*x)*(1 - 24*x + 212*x^2 - 792*x^3 + 866*x^4 + 840*x^5 + 76*x^6 - 24*x^7 - x^8)). _Colin Barker_, Jan 24 2019
%e Some solutions for n=6:
%e ..3. .0. .0. .3. .5. .4. .6. .1. .2. .5. .4. .3. .1. .0. .0. .3
%e ..6. .3. .0. .0. .0. .3. .3. .5. .1. .5. .4. .5. .0. .0. .1. .6
%e ..3. .5. .1. .5. .3. .4. .3. .2. .0. .1. .3. .2. .0. .1. .1. .1
%e ..3. .2. .3. .6. .6. .1. .5. .3. .0. .6. .1. .0. .2. .0. .1. .3
%e ..0. .6. .5. .3. .6. .0. .6. .6. .6. .2. .5. .0. .0. .2. .2. .1
%e ..4. .4. .0. .0. .1. .4. .3. .0. .0. .4. .1. .2. .0. .5. .5. .3
%Y Column 6 of A269583.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 01 2016
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