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A269534 Number of length-n 0..5 arrays with no repeated value differing from the previous repeated value by other than one. 1
6, 36, 210, 1210, 6890, 38878, 217714, 1211476, 6705102, 36939610, 202696070, 1108372980, 6042240154, 32850033316, 178168192702, 964256946776, 5208585411106, 28086302736278, 151213240334794, 812960203889834 (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) = 17*a(n-1) - 92*a(n-2) + 96*a(n-3) + 493*a(n-4) - 533*a(n-5) - 1521*a(n-6) - 695*a(n-7).

Empirical g.f.: 2*x*(3 - 33*x + 75*x^2 + 188*x^3 - 387*x^4 - 821*x^5 - 354*x^6) / ((1 - 5*x)*(1 - 12*x + 32*x^2 + 64*x^3 - 173*x^4 - 332*x^5 - 139*x^6)). - Colin Barker, Jan 23 2019

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Column 5 of A269537.

Sequence in context: A014336 A268941 A269637 * A269675 A269406 A269603

Adjacent sequences:  A269531 A269532 A269533 * A269535 A269536 A269537

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 29 2016

STATUS

approved

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Last modified October 28 16:41 EDT 2021. Contains 348329 sequences. (Running on oeis4.)