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!)
A207696 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically 1

%I #5 Mar 31 2012 12:37:19

%S 13,169,312,576,1872,6084,18564,56644,177548,556516,1724752,5345344,

%T 16678768,52041796,161651312,502118464,1565288432,4879581316,

%U 15166141648,47137620544,146886255152,457714490116,1423079330608,4424493488704

%N Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically

%C Row 5 of A207693

%H R. H. Hardin, <a href="/A207696/b207696.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -a(n-1) +2*a(n-3) +134*a(n-4) +156*a(n-5) +26*a(n-6) -38*a(n-7) -5479*a(n-8) -6619*a(n-9) -764*a(n-10) -794*a(n-11) +99186*a(n-12) +120572*a(n-13) +8542*a(n-14) +28158*a(n-15) -922172*a(n-16) -1110136*a(n-17) -36020*a(n-18) -285680*a(n-19) +4730084*a(n-20) +5573996*a(n-21) +15808*a(n-22) +1360424*a(n-23) -13979784*a(n-24) -15981040*a(n-25) +306584*a(n-26) -3427112*a(n-27) +24196144*a(n-28) +26634240*a(n-29) -1022416*a(n-30) +4643776*a(n-31) -24267712*a(n-32) -25569504*a(n-33) +1538368*a(n-34) -3216512*a(n-35) +13574976*a(n-36) +13579136*a(n-37) -1140864*a(n-38) +996608*a(n-39) -3950848*a(n-40) -3684352*a(n-41) +352768*a(n-42) -113664*a(n-43) +532480*a(n-44) +442368*a(n-45) -36864*a(n-46) -24576*a(n-48) -16384*a(n-49) for n>52

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 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 24 08:59 EDT 2024. Contains 371935 sequences. (Running on oeis4.)