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A269581 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by more than one. 1
7, 49, 343, 2371, 16237, 110339, 745013, 5003189, 33444515, 222678103, 1477520701, 9774231593, 64488659975, 424492364229, 2788409406459, 18282749345115, 119676718166685, 782230745611877, 5106010760180351, 33289477289878243 (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) - 356*a(n-2) + 2064*a(n-3) - 5618*a(n-4) + 4356*a(n-5) + 4964*a(n-6) + 480*a(n-7) - 143*a(n-8) - 6*a(n-9).

Empirical g.f.: x*(7 - 161*x + 1365*x^2 - 4923*x^3 + 5405*x^4 + 4143*x^5 + 253*x^6 - 111*x^7 - 4*x^8) / ((1 - 6*x)*(1 - 24*x + 212*x^2 - 792*x^3 + 866*x^4 + 840*x^5 + 76*x^6 - 24*x^7 - x^8)). Colin Barker, Jan 24 2019

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Column 6 of A269583.

Sequence in context: A228738 A057845 A269617 * A269433 A269688 A269492

Adjacent sequences:  A269578 A269579 A269580 * A269582 A269583 A269584

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 01 2016

STATUS

approved

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Last modified June 16 06:46 EDT 2019. Contains 324145 sequences. (Running on oeis4.)