The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269536 Number of length-n 0..7 arrays with no repeated value differing from the previous repeated value by other than one. 1

%I #4 Feb 29 2016 07:03:56

%S 8,64,504,3934,30464,234358,1792788,13648124,103462888,781425950,

%T 5882591244,44155349024,330570580264,2469019630228,18401868960784,

%U 136886638563766,1016473079300584,7535834884502158,55785961230032092

%N Number of length-n 0..7 arrays with no repeated value differing from the previous repeated value by other than one.

%C Column 7 of A269537.

%H R. H. Hardin, <a href="/A269536/b269536.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -355*a(n-2) +1651*a(n-3) -870*a(n-4) -13188*a(n-5) +7883*a(n-6) +59449*a(n-7) +59366*a(n-8) +18088*a(n-9)

%e Some solutions for n=5

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

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

%e ..5. .1. .3. .4. .6. .1. .2. .1. .1. .6. .4. .4. .6. .2. .4. .4

%e ..5. .7. .7. .5. .3. .4. .0. .3. .3. .4. .1. .7. .6. .1. .3. .0

%e ..7. .1. .6. .3. .2. .7. .4. .3. .5. .5. .7. .2. .5. .5. .1. .1

%Y Cf. A269537.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 29 2016

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 15 17:15 EDT 2024. Contains 372548 sequences. (Running on oeis4.)