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!)
A223665 Number of nX4 0..1 arrays with rows, diagonals and antidiagonals unimodal 1

%I #4 Mar 25 2013 09:33:19

%S 11,121,948,6454,44693,321163,2343189,17087771,124218846,901767902,

%T 6546694983,47541956223,345294309121,2507850941319,18213891195978,

%U 132281285512572,960713718887517,6977351377339193,50674293382202763

%N Number of nX4 0..1 arrays with rows, diagonals and antidiagonals unimodal

%C Column 4 of A223669

%H R. H. Hardin, <a href="/A223665/b223665.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -8*a(n-2) -63*a(n-3) +250*a(n-4) -152*a(n-5) -522*a(n-6) -2735*a(n-7) +4120*a(n-8) +9651*a(n-9) +1347*a(n-10) -13682*a(n-11) -24899*a(n-12) +6443*a(n-13) +11258*a(n-14) +8578*a(n-15) -11567*a(n-16) +8480*a(n-17) +22660*a(n-18) -17587*a(n-19) +2236*a(n-20) +4536*a(n-21) -2700*a(n-22) -864*a(n-23)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 25 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 May 31 05:54 EDT 2024. Contains 372980 sequences. (Running on oeis4.)