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Number of length-n 0..7 arrays with no adjacent pair x,x+1 repeated.
1

%I #4 Mar 02 2016 11:30:00

%S 8,64,512,4089,32600,259476,2061940,16359580,129599404,1025145474,

%T 8097221352,63866100432,503041727344,3956869283864,31083352671872,

%U 243863266575744,1910824354782112,14954229427038576,116893085869240608

%N Number of length-n 0..7 arrays with no adjacent pair x,x+1 repeated.

%C Column 7 of A269656.

%H R. H. Hardin, <a href="/A269655/b269655.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A269655/a269655.txt">Empirical recurrence of order 64</a>

%F Empirical recurrence of order 64 (see link above)

%e Some solutions for n=5

%e ..1. .4. .4. .0. .2. .2. .2. .7. .0. .3. .6. .4. .5. .3. .1. .0

%e ..1. .3. .4. .3. .2. .2. .7. .0. .3. .1. .5. .5. .5. .1. .6. .7

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

%e ..4. .2. .4. .1. .2. .2. .3. .7. .3. .6. .4. .6. .4. .1. .1. .5

%e ..0. .6. .4. .7. .3. .6. .1. .3. .1. .2. .0. .7. .1. .5. .3. .0

%Y Cf. A269656.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 02 2016