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A268942 Number of length-n 0..6 arrays with no repeated value unequal to the previous repeated value plus one mod 6+1. 1
7, 49, 336, 2275, 15239, 101192, 667065, 4370261, 28480312, 184750699, 1193659551, 7684815880, 49319275649, 315627565757, 2014797616440, 12831930191171, 81554529162967, 517343926505224, 3276087952780041, 20712766946115685 (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) = 11*a(n-1) - 23*a(n-2) - 42*a(n-3).

Empirical g.f.: 7*x*(1 - 4*x - 6*x^2) / ((1 - 6*x)*(1 - 5*x - 7*x^2)). - Colin Barker, Jan 17 2019

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Column 6 of A268944.

Sequence in context: A188868 A267469 A126639 * A269638 A269535 A269676

Adjacent sequences:  A268939 A268940 A268941 * A268943 A268944 A268945

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 16 2016

STATUS

approved

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Last modified October 16 20:36 EDT 2021. Contains 348047 sequences. (Running on oeis4.)