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!)
A203790 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements. 1

%I #8 Jun 05 2018 08:19:03

%S 784,10576,142192,1911952,25708528,345682576,4648124656,62499715984,

%T 840385055728,11300004020368,151942362599152,2043050737911184,

%U 27471313768440304,369385383417191056,4966837867034125552

%N Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.

%C Column 2 of A203796.

%H R. H. Hardin, <a href="/A203790/b203790.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +6*a(n-2).

%F Empirical g.f.: 16*x*(49 + 24*x) / (1 - 13*x - 6*x^2). - _Colin Barker_, Jun 05 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A203796.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 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 April 19 17:39 EDT 2024. Contains 371797 sequences. (Running on oeis4.)