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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269775 Number of length-n 0..7 arrays with every repeated value unequal to the previous repeated value plus one mod 7+1. 1
8, 64, 512, 4088, 32592, 259504, 2063880, 16398144, 130175360, 1032602872, 8185566032, 64850011184, 513508842504, 4064330589760, 32155606323456, 254314670475768, 2010717722177360, 15893207240651440, 125593338184358408 (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) = 14*a(n-1) - 42*a(n-2)  -49*a(n-3).

Empirical g.f.: 8*x*(1 - 6*x - 6*x^2) / ((1 - 7*x)*(1 - 7*x - 7*x^2)). - Colin Barker, Jan 29 2019

EXAMPLE

Some solutions for n=5:

..4. .2. .0. .1. .2. .0. .2. .7. .4. .3. .1. .0. .7. .5. .5. .6

..3. .3. .0. .1. .2. .5. .0. .1. .7. .1. .0. .5. .1. .2. .1. .6

..4. .2. .6. .0. .6. .5. .0. .1. .1. .5. .3. .2. .5. .6. .7. .6

..3. .0. .1. .4. .4. .1. .7. .5. .3. .3. .3. .4. .3. .1. .1. .5

..5. .1. .5. .1. .0. .4. .5. .5. .0. .1. .3. .0. .1. .1. .2. .7

CROSSREFS

Column 7 of A269776.

Sequence in context: A269434 A269689 A269493 * A269655 A250360 A190130

Adjacent sequences:  A269772 A269773 A269774 * A269776 A269777 A269778

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 04 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 December 5 09:45 EST 2021. Contains 349543 sequences. (Running on oeis4.)