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!)
A233877 Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11. 1

%I #8 Oct 12 2018 08:28:53

%S 76,300,1224,5156,22020,95464,415092,1819604,7964808,35055940,

%T 153816132,677977352,2977325268,13129922932,57677272968,254401366820,

%U 1117656904164,4930047668872,21659909682612,95545254192788,419778763578888

%N Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11.

%H R. H. Hardin, <a href="/A233877/b233877.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 19*a(n-2) - 60*a(n-3) + 8*a(n-4) + 36*a(n-5) - 12*a(n-6).

%F Empirical g.f.: 4*x*(19 + 18*x - 280*x^2 + 86*x^3 + 172*x^4 - 64*x^5) / ((1 - 3*x + x^2)*(1 - 20*x^2 + 12*x^4)). - _Colin Barker_, Oct 12 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 2 of A233883.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2013

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 25 09:13 EDT 2024. Contains 371967 sequences. (Running on oeis4.)