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Number of length-n 0..5 arrays with no repeated value greater than the previous repeated value.
1

%I #4 Feb 26 2016 07:45:48

%S 6,36,216,1281,7536,44021,255576,1475871,8482276,48543777,276756312,

%T 1572394697,8905537932,50293202487,283276001872,1591658418642,

%U 8922925364502,49917266140917,278703080519352,1553227427718978

%N Number of length-n 0..5 arrays with no repeated value greater than the previous repeated value.

%C Column 5 of A269435.

%H R. H. Hardin, <a href="/A269432/b269432.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) -369*a(n-2) +2350*a(n-3) -7890*a(n-4) +11550*a(n-5) +895*a(n-6) -11550*a(n-7) -7890*a(n-8) -2350*a(n-9) -369*a(n-10) -30*a(n-11) -a(n-12)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269435.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 26 2016