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A269639 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. 1

%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

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)