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!)
A188563 Number of nX5 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally 1
24, 576, 7722, 127951, 2109386, 33878337, 550371695, 8927734479, 144690439154, 2346488899945, 38046632240393, 616893545538780, 10002761857812112, 162189251938735563, 2629815638615310378, 42641195365724382052 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A188567

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..300

FORMULA

Empirical: a(n)=a(n-1)+81*a(n-2)+1968*a(n-3)+10198*a(n-4)+43534*a(n-5)-234023*a(n-6)-1076579*a(n-7)-7710218*a(n-8)+24006347*a(n-9)+17872668*a(n-10)+667841405*a(n-11)-2271104625*a(n-12)+4340294596*a(n-13)-40288551991*a(n-14)+140799043254*a(n-15)-367357387268*a(n-16)+1626126833419*a(n-17)-4937058082087*a(n-18)+12036905557357*a(n-19)-37333061036842*a(n-20)+94143877370036*a(n-21)-197540340201065*a(n-22)+484763689480798*a(n-23)-1022689739298729*a(n-24)+1810780359805844*a(n-25)-3735287000142085*a(n-26)+6691498222412310*a(n-27)-9820715320305757*a(n-28)+17885149745250658*a(n-29)-27557851666486808*a(n-30)+31686148804091742*a(n-31)-54867315940314229*a(n-32)+73900374795604900*a(n-33)-53547394400046240*a(n-34)+109541394067964935*a(n-35)-137068076811904423*a(n-36)-671341738732344*a(n-37)-140341308504278752*a(n-38)+212929032216508104*a(n-39)+241974226680429512*a(n-40)+82503450410560086*a(n-41)-369575427840252666*a(n-42)-639552653133407674*a(n-43)+120038296860401910*a(n-44)+633848479595783593*a(n-45)+919503615101826039*a(n-46)-401157566451451126*a(n-47)-826769288658598994*a(n-48)-855473552142668621*a(n-49)+562886248215117288*a(n-50)+761449110398180541*a(n-51)+544568230227491932*a(n-52)-500757608328287023*a(n-53)-498682516432561511*a(n-54)-240341125585075947*a(n-55)+311956476409845853*a(n-56)+237763562843915798*a(n-57)+72892741064384507*a(n-58)-142024726797552692*a(n-59)-85112274892438694*a(n-60)-15600377946302881*a(n-61)+47865071419112064*a(n-62)+23566849659045219*a(n-63)+2869103094851538*a(n-64)-12098272395481587*a(n-65)-5342581163807780*a(n-66)-768861930999430*a(n-67)+2313215809512112*a(n-68)+1056731586663470*a(n-69)+258721825247009*a(n-70)-335386863392340*a(n-71)-184178745154265*a(n-72)-67001075100914*a(n-73)+35855580816037*a(n-74)+26627379672137*a(n-75)+12305212472154*a(n-76)-2100680589339*a(n-77)-2766817028237*a(n-78)-1563591964191*a(n-79)-98206976791*a(n-80)+161752526593*a(n-81)+124114552425*a(n-82)+30147751382*a(n-83)-1640050425*a(n-84)-4962256165*a(n-85)-2270181092*a(n-86)-389209284*a(n-87)+24481487*a(n-88)+58567091*a(n-89)+18670145*a(n-90)+2482546*a(n-91)-296948*a(n-92)-339623*a(n-93)-43329*a(n-94)-2290*a(n-95)+2665*a(n-96)+371*a(n-97)-53*a(n-98)-a(n-99)

EXAMPLE

Some solutions for 3X5

..0..1..1..0..1....0..0..0..0..0....0..0..0..1..0....1..0..0..0..1

..1..0..0..0..0....0..1..0..0..0....0..1..0..1..0....0..0..0..0..0

..1..0..0..1..0....1..0..1..1..0....1..1..0..0..1....0..1..1..0..1

CROSSREFS

Sequence in context: A206933 A206868 A181221 * A207085 A207179 A188750

Adjacent sequences:  A188560 A188561 A188562 * A188564 A188565 A188566

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 04 2011

STATUS

approved

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 August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)