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

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

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

allocated for R. H. Hardin

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

40, 591, 3680, 14695, 44904, 114695, 257536, 524655, 990440, 1758559, 2968800, 4804631, 7501480, 11355735, 16734464, 24085855, 33950376, 46972655, 63914080, 85666119, 113264360, 147903271, 190951680, 243968975, 308722024, 387202815

1,1

Row 6 of A269494.

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

Some solutions for n=6

..5. .0. .4. .0. .5. .3. .1. .5. .1. .5. .1. .2. .3. .0. .5. .3

..0. .5. .0. .4. .4. .4. .0. .4. .3. .3. .6. .1. .1. .4. .1. .6

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

..6. .4. .2. .2. .1. .1. .5. .1. .0. .2. .5. .4. .2. .2. .6. .1

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

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

Cf. A269494.

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R. H. Hardin, Feb 28 2016

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