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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 6 05:22 EST 2022. Contains 358594 sequences. (Running on oeis4.)