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Number of length-(n+6) 0..n arrays with no repeated value equal to the previous repeated value, with new values introduced in sequential order.
1

%I #4 Feb 16 2016 11:54:53

%S 15,525,6723,58409,426289,2918103,19899645,139354433,1014707218,

%T 7708112426,61057289906,503473697674,4313566395798,38328567460364,

%U 352618771825166,3353663922642364,32927374508631249,333319732229912935

%N Number of length-(n+6) 0..n arrays with no repeated value equal to the previous repeated value, with new values introduced in sequential order.

%C Subdiagonal 6 of A268956.

%H R. H. Hardin, <a href="/A268960/b268960.txt">Table of n, a(n) for n = 1..116</a>

%e Some solutions for n=4

%e ..0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0

%e ..1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1. .1

%e ..0. .2. .0. .2. .1. .2. .2. .2. .2. .2. .2. .1. .0. .0. .2. .1

%e ..2. .3. .1. .2. .2. .1. .1. .2. .0. .0. .3. .2. .2. .2. .1. .0

%e ..2. .2. .2. .3. .2. .0. .2. .3. .1. .1. .1. .0. .0. .3. .0. .2

%e ..3. .3. .1. .3. .3. .3. .0. .0. .3. .2. .1. .1. .2. .1. .2. .0

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

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

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

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

%Y Cf. A268956.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 16 2016