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!)
A246732 Number of length n+4 0..3 arrays with no pair in any consecutive five terms totalling exactly 3. 1

%I #8 Nov 06 2018 08:19:55

%S 124,260,548,1156,2436,5132,10812,22780,47996,101124,213060,448900,

%T 945796,1992716,4198492,8845884,18637564,39267844,82734180,174314244,

%U 367266052,773799948,1630334076,3434982396,7237230844,15248261636

%N Number of length n+4 0..3 arrays with no pair in any consecutive five terms totalling exactly 3.

%H R. H. Hardin, <a href="/A246732/b246732.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + a(n-4).

%F Empirical g.f.: 4*x*(31 + 3*x + 7*x^2 + 15*x^3) / (1 - 2*x - x^4). - _Colin Barker_, Nov 06 2018

%e Some solutions for n=4:

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

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

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

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

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

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

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

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

%Y Column 3 of A246737.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 02 2014

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 29 13:31 EDT 2024. Contains 372940 sequences. (Running on oeis4.)