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A269498 Number of length-7 0..n arrays with no repeated value differing from the previous repeated value by one. 1

%I #7 Mar 03 2016 03:50:52

%S 66,1609,13946,71115,263794,791381,2039274,4686391,9847970,19258689,

%T 35501146,62284739,104779986,170013325,267327434,408912111,610410754,

%U 891607481,1277199930,1797662779,2490207026,3399840069,4580531626

%N Number of length-7 0..n arrays with no repeated value differing from the previous repeated value by one.

%C Row 7 of A269494.

%H R. H. Hardin, <a href="/A269498/b269498.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = n^7 + 7*n^6 + 21*n^5 + 15*n^4 + 7*n^3 + 17*n^2 - n - 1.

%F Empirical: x*(66 +1081*x +2922*x^2 +903*x^3 -122*x^4 +207*x^5 -18*x^6 +x^7) / (x-1)^8 . - _R. J. Mathar_, Mar 03 2016

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A269494.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2016

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Last modified March 28 13:19 EDT 2024. Contains 371254 sequences. (Running on oeis4.)