login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269535 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than one. 1
7, 49, 336, 2280, 15324, 102202, 677200, 4462414, 29265308, 191134204, 1243794600, 8068058218, 52186113316, 336696234188, 2167362918200, 13922979926042, 89273834257404, 571453869667592, 3652311182519800, 23309932135990218 (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) = 26*a(n-1) - 246*a(n-2) + 896*a(n-3) + 123*a(n-4) - 6658*a(n-5) + 796*a(n-6) + 22824*a(n-7) + 23326*a(n-8) + 6924*a(n-9).

Empirical g.f.: x*(7 - 133*x + 784*x^2 - 674*x^3 - 6065*x^4 + 4181*x^5 + 26114*x^6 + 24478*x^7 + 7026*x^8) / ((1 - 6*x)*(1 - 20*x + 126*x^2 - 140*x^3 - 963*x^4 + 880*x^5 + 4484*x^6 + 4080*x^7 + 1154*x^8)). - Colin Barker, Jan 23 2019

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Column 6 of A269537.

Sequence in context: A126639 A268942 A269638 * A269676 A269407 A269604

Adjacent sequences:  A269532 A269533 A269534 * A269536 A269537 A269538

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 29 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 22 19:36 EDT 2021. Contains 347608 sequences. (Running on oeis4.)