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A269497 Number of length-6 0..n arrays with no repeated value differing from the previous repeated value by one. 1

%I

%S 40,591,3680,14695,44904,114695,257536,524655,990440,1758559,2968800,

%T 4804631,7501480,11355735,16734464,24085855,33950376,46972655,

%U 63914080,85666119,113264360,147903271,190951680,243968975,308722024,387202815

%N Number of length-6 0..n arrays with no repeated value differing from the previous repeated value by one.

%C Row 6 of A269494.

%H R. H. Hardin, <a href="/A269497/b269497.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = n^6 + 6*n^5 + 15*n^4 + 8*n^3 + 5*n^2 + 6*n - 1.

%F Empirical: G.f.: x*(-40-311*x-383*x^2+54*x^3-34*x^4-7*x^5+x^6) / (x-1)^7. - _R. J. Mathar_, Mar 03 2016

%e Some solutions for n=6

%e ..5. .0. .4. .0. .5. .3. .1. .5. .1. .5. .1. .2. .3. .0. .5. .3

%e ..0. .5. .0. .4. .4. .4. .0. .4. .3. .3. .6. .1. .1. .4. .1. .6

%e ..6. .2. .4. .5. .5. .3. .4. .1. .2. .4. .0. .3. .4. .6. .6. .0

%e ..6. .4. .2. .2. .1. .1. .5. .1. .0. .2. .5. .4. .2. .2. .6. .1

%e ..2. .1. .5. .2. .4. .2. .1. .0. .6. .3. .3. .5. .2. .2. .2. .0

%e ..2. .6. .5. .1. .1. .3. .6. .4. .0. .1. .4. .1. .1. .4. .1. .1

%Y Cf. A269494.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2016

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Last modified September 21 00:14 EDT 2021. Contains 347596 sequences. (Running on oeis4.)