login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A235271 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). 1

%I

%S 40,100,208,520,1120,2800,6208,15520,35200,88000,203008,507520,

%T 1185280,2963200,6980608,17451520,41359360,103398400,246059008,

%U 615147520,1467965440,3669913600,8774238208,21935595520,52511211520,131278028800

%N Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235271/b235271.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-2) - 24*a(n-4).

%F Conjectures from _Colin Barker_, Oct 17 2018: (Start)

%F G.f.: 4*x*(2 + 5*x)*(5 - 24*x^2) / ((1 - 2*x)*(1 + 2*x)*(1 - 6*x^2)).

%F a(n) = (-2)^n + 9*2^n + 6^((1/2)*(-1+n))*(12-12*(-1)^n + 5*sqrt(6) + 5*(-1)^n*sqrt(6)).

%F (End)

%e Some solutions for n=4:

%e 3 2 2 4 2 0 4 2 4 3 1 3 0 4 2 4 1 4 4 1

%e 0 4 3 0 1 4 0 3 0 4 3 0 3 2 3 0 4 2 1 3

%e 3 2 0 2 4 2 3 1 1 0 2 4 0 4 2 4 0 3 3 0

%e 0 4 3 0 1 4 0 3 0 4 4 1 1 0 3 0 2 0 0 2

%e 4 3 0 2 2 0 2 0 2 1 1 3 0 4 0 2 1 4 3 0

%Y Column 1 of A235280.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 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 November 27 01:14 EST 2022. Contains 358362 sequences. (Running on oeis4.)