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%I #7 Jan 26 2019 05:46:34
%S 6,36,210,1212,6918,39156,220050,1229292,6832518,37810116,208443090,
%T 1145318172,6274749318,34288099476,186935018130,1017053643852,
%U 5523244077318,29944773691236,162103912681170,876339613438332
%N Number of length-n 0..5 arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo 5+1.
%H R. H. Hardin, <a href="/A269675/b269675.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) - 13*a(n-2) - 35*a(n-3).
%F Conjectures from _Colin Barker_, Jan 26 2019: (Start)
%F G.f.: 6*x*(1 - 3*x - 6*x^2) / ((1 - 5*x)*(1 - 4*x - 7*x^2)).
%F a(n) = (-924*5^n + (660-195*sqrt(11))*(2-sqrt(11))^n + 15*(2+sqrt(11))^n*(44+13*sqrt(11))) / 385.
%F (End)
%e Some solutions for n=6:
%e ..5. .1. .0. .0. .3. .1. .1. .5. .3. .0. .5. .1. .5. .1. .1. .4
%e ..2. .0. .5. .5. .0. .1. .4. .3. .1. .3. .4. .4. .4. .4. .0. .3
%e ..4. .3. .5. .0. .4. .5. .2. .3. .1. .3. .1. .5. .2. .5. .3. .5
%e ..5. .1. .0. .2. .3. .1. .0. .5. .5. .5. .2. .3. .2. .1. .2. .3
%e ..2. .4. .4. .4. .2. .2. .2. .0. .0. .2. .5. .5. .4. .0. .5. .1
%e ..3. .4. .4. .3. .3. .5. .0. .3. .2. .0. .2. .3. .2. .1. .2. .2
%Y Column 5 of A269678.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 03 2016
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