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!)
A217949 Number of n-element 0..3 arrays with each element the minimum of 3 adjacent elements of a random 0..3 array of n+2 elements. 4

%I

%S 4,16,50,130,310,736,1821,4673,12107,31103,79039,199819,505477,

%T 1282309,3259549,8288613,21064316,53497376,135833020,344914900,

%U 875983319,2224986219,5651490601,14354263713,36457137516,92593166734,235168023403

%N Number of n-element 0..3 arrays with each element the minimum of 3 adjacent elements of a random 0..3 array of n+2 elements.

%C See A217954 and A228461 for more information. - _N. J. A. Sloane_, Sep 02 2013

%H R. H. Hardin, <a href="/A217949/b217949.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) +5*a(n-4) -4*a(n-5) +6*a(n-6) +4*a(n-7) +2*a(n-9) +a(n-10).

%F Empirical: G.f.: -x*(x^3+x^2+2) *(x^6+2*x^5+x^4+4*x^3+4*x^2+2) / ( (x^5+3*x^2-2*x+1) *(x^5+2*x^4+x^2+2*x-1) ). - _R. J. Mathar_, May 17 2014

%e Some solutions for n=4

%e ..2....0....1....0....1....0....0....0....0....2....2....3....1....2....1....1

%e ..0....3....2....0....1....2....0....2....2....3....2....3....2....2....3....1

%e ..0....0....1....2....1....3....2....2....2....2....2....2....2....3....1....1

%e ..0....0....0....3....0....0....2....1....0....1....0....1....2....2....0....3

%Y Column 3 of A217954. Cf. A217883, A217954.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 15 2012

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 May 14 10:11 EDT 2021. Contains 343880 sequences. (Running on oeis4.)