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Number of length-n 0..n arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo n+1.
1

%I #5 Mar 03 2016 12:00:50

%S 2,9,60,570,6918,102606,1799256,36430614,836599530,21486777246,

%T 610316761236,18996711425718,643003101276270,23514920033329950,

%U 923967843215031600,38820647241658051158,1736732998701525266514

%N Number of length-n 0..n arrays with no repeated value differing from the previous repeated value by other than plus or minus one modulo n+1.

%C Diagonal of A269678.

%H R. H. Hardin, <a href="/A269672/b269672.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269678.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 03 2016