%I
%S 12,159,796,2637,6876,15307,30444,55641,95212,154551,240252,360229,
%T 523836,741987,1027276,1394097,1858764,2439631,3157212,4034301,
%U 5096092,6370299,7887276,9680137,11784876,14240487,17089084,20376021,24150012
%N Number of length5 0..n arrays with no repeated value differing from the previous repeated value by other than plus two or minus 1.
%H R. H. Hardin, <a href="/A269642/b269642.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = n^5 + 5*n^4 + 4*n^3 + 6*n^2  5*n + 1.
%F Conjectures from _Colin Barker_, Jan 25 2019: (Start)
%F G.f.: x*(12 + 87*x + 22*x^2 + 6*x^3  6*x^4  x^5) / (1  x)^6.
%F a(n) = 6*a(n1)  15*a(n2) + 20*a(n3)  15*a(n4) + 6*a(n5)  a(n6) for n>6.
%F (End)
%e Some solutions for n=3:
%e ..1. .0. .0. .1. .1. .2. .0. .2. .0. .2. .1. .0. .3. .2. .0. .3
%e ..3. .0. .0. .0. .2. .3. .1. .3. .1. .2. .1. .3. .2. .0. .2. .0
%e ..1. .1. .1. .2. .2. .2. .2. .0. .3. .3. .0. .0. .0. .1. .0. .0
%e ..0. .3. .2. .3. .1. .3. .3. .1. .1. .2. .0. .3. .3. .0. .0. .1
%e ..3. .1. .2. .3. .0. .1. .1. .2. .2. .3. .2. .0. .0. .0. .1. .2
%Y Row 5 of A269640.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 02 2016
