%I #4 Mar 02 2016 07:45:54
%S 8,64,504,3933,30444,234080,1789528,13613507,103118640,778158768,
%T 5852649288,43888314093,328240366020,2449045039552,18233174801384,
%U 135479775215950,1004866303875264,7440970750295140,55016954785772120
%N Number of length-n 0..7 arrays with no repeated value differing from the previous repeated value by other than plus two or minus 1.
%C Column 7 of A269640.
%H R. H. Hardin, <a href="/A269639/b269639.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 56*a(n-1) -1344*a(n-2) +17752*a(n-3) -135716*a(n-4) +545496*a(n-5) -463786*a(n-6) -4675564*a(n-7) +12243456*a(n-8) +21822328*a(n-9) -72836660*a(n-10) -123804240*a(n-11) +151424498*a(n-12) +520495760*a(n-13) +515921322*a(n-14) +232811740*a(n-15) +41061559*a(n-16)
%e Some solutions for n=5
%e ..1. .7. .0. .1. .0. .1. .7. .3. .2. .3. .6. .1. .6. .3. .1. .3
%e ..5. .1. .3. .7. .7. .0. .6. .1. .0. .5. .5. .0. .4. .0. .0. .0
%e ..7. .2. .7. .0. .4. .0. .7. .2. .6. .2. .3. .2. .2. .3. .5. .0
%e ..5. .6. .6. .2. .5. .1. .3. .2. .3. .5. .5. .6. .3. .6. .2. .5
%e ..1. .2. .4. .3. .4. .4. .6. .5. .5. .3. .2. .4. .4. .6. .5. .7
%Y Cf. A269640.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 02 2016
|