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A269492 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by one. 1
7, 49, 343, 2389, 16579, 114695, 791381, 5448185, 37435583, 256804141, 1759152499, 12035747757, 82258781115, 561684075373, 3832259642203, 26128574285113, 178038236615119, 1212498463318805, 8253697161562331, 56161736795827953 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 30*a(n-1) - 353*a(n-2) + 1992*a(n-3) - 4976*a(n-4) + 1872*a(n-5) + 8202*a(n-6) + 1800*a(n-7) - 210*a(n-8) - 36*a(n-9).

Empirical g.f.: x*(7 - 161*x + 1344*x^2 - 4548*x^3 + 3212*x^4 + 8106*x^5 + 1656*x^6 - 208*x^7 - 34*x^8) / ((1 - 6*x)*(1 - 24*x + 209*x^2 - 738*x^3 + 548*x^4 + 1416*x^5 + 294*x^6 - 36*x^7 - 6*x^8)). - Colin Barker, Jan 23 2019

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Column 6 of A269494.

Sequence in context: A269581 A269433 A269688 * A269774 A269654 A250359

Adjacent sequences:  A269489 A269490 A269491 * A269493 A269494 A269495

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 28 2016

STATUS

approved

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Last modified December 7 22:50 EST 2021. Contains 349590 sequences. (Running on oeis4.)