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!)
A186011 1/8192 the number of (n+2) X 3 0..3 arrays with no 3 X 3 subblock trace equal to any horizontal or vertical neighbor 3 X 3 subblock trace. 1

%I

%S 32,1758,96924,5341590,294396948,16225291062,894236244300,

%T 49284679976982,2716261832889540,149703280865259606,

%U 8250703986839316732,454726949644851531894,25061691593134045875060,1381242932694649174358646

%N 1/8192 the number of (n+2) X 3 0..3 arrays with no 3 X 3 subblock trace equal to any horizontal or vertical neighbor 3 X 3 subblock trace.

%C Column 1 of A186019.

%H R. H. Hardin, <a href="/A186011/b186011.txt">Table of n, a(n) for n = 1..199</a>

%F Empirical: a(n) = 32*a(n-1) + 1101*a(n-2) + 9060*a(n-3) + 25452*a(n-4) + 19440*a(n-5).

%F Empirical g.f.: 2*x*(16 + 367*x + 2718*x^2 + 7272*x^3 + 5400*x^4) / (1 - 32*x - 1101*x^2 - 9060*x^3 - 25452*x^4 - 19440*x^5). - _Colin Barker_, Apr 17 2018

%e Some solutions for 4 X 3:

%e ..0..0..0....0..0..0....0..0..0....0..0..0....2..0..0....0..0..0....2..0..0

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

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

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

%Y Cf. A186019.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 10 2011

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 October 27 00:02 EDT 2021. Contains 348270 sequences. (Running on oeis4.)