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!)
A206199 Number of (n+1) X 2 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. 1

%I #10 Jun 14 2018 08:18:31

%S 256,480,1768,7388,29724,117084,468968,1878808,7493008,29925508,

%T 119605588,477741796,1908251600,7623408272,30453658424,121651754668,

%U 485967430220,1941313945708,7755000190904,30979095429960,123753089725152

%N Number of (n+1) X 2 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases.

%C Column 1 of A206206.

%H R. H. Hardin, <a href="/A206199/b206199.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 17*a(n-3) - 5*a(n-4) + 2*a(n-5) for n>6.

%F Empirical g.f.: 4*x*(64 - 72*x + 82*x^2 - 567*x^3 + 170*x^4 - 64*x^5) / (1 - 3*x - 17*x^3 + 5*x^4 - 2*x^5). - _Colin Barker_, Jun 14 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A206206.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2012

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 23 18:59 EDT 2024. Contains 372765 sequences. (Running on oeis4.)