A269497 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

Offset

1,1

Comments

Row 6 of A269494.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

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

Crossrefs

Cf. A269494.

Sequence in context: A107419 A159946 A185744 * A097823 A263953 A002847

Adjacent sequences: A269494 A269495 A269496 * A269498 A269499 A269500

Keyword

nonn

Author

R. H. Hardin, Feb 28 2016

Status

approved