cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-7 of 7 results.

A188560 Number of n X n binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

2, 16, 247, 13306, 2109386, 924245906, 1199747927824, 4515869742994831, 49132225919211100127, 1553292806575822383425281, 142435222420745509758550159896, 37880215295994989398957106920807127
Offset: 1

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Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Diagonal of A188567

Examples

			Some solutions for 3X3
..0..0..0....0..0..1....0..1..1....0..1..1....0..1..0....0..1..1....0..0..1
..1..0..1....0..1..0....0..1..0....1..0..0....0..1..1....0..0..0....1..0..1
..1..0..1....1..0..0....0..0..0....0..1..0....0..0..0....0..0..1....1..1..0
		

A188561 Number of nX3 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

7, 49, 247, 1383, 7722, 42712, 237116, 1315783, 7300042, 40505756, 224748056, 1247024929, 6919195733, 38391539384, 213017628693, 1181940415631, 6558063227535, 36387785244039, 201899687047572, 1120251845376251
Offset: 1

Views

Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Column 3 of A188567

Examples

			Some solutions for 4X3
..0..0..0....0..1..0....0..0..0....0..0..0....0..0..0....0..1..1....1..0..0
..0..1..0....0..1..0....0..1..1....1..1..0....1..1..0....1..1..0....0..1..1
..1..1..0....1..0..1....1..0..1....0..0..1....0..1..1....0..0..1....1..1..0
..0..0..1....0..0..1....0..0..0....1..1..0....1..0..0....0..0..1....1..0..1
		

Formula

Empirical: a(n)=a(n-1)+11*a(n-2)+60*a(n-3)+89*a(n-4)+107*a(n-5)-75*a(n-6)-50*a(n-7)-157*a(n-8)+184*a(n-9)-91*a(n-10)+86*a(n-11)-35*a(n-12)+13*a(n-13)-14*a(n-14)+4*a(n-15)

A188562 Number of nX4 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

13, 169, 1383, 13306, 127951, 1204078, 11433452, 108485757, 1028265705, 9752393774, 92483653644, 876991515012, 8316617769514, 78866430165460, 747888040870634, 7092226692541037, 67255536562092087, 637783755852399275
Offset: 1

Views

Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Column 4 of A188567

Examples

			Some solutions for 3X4
..0..1..0..1....0..0..0..1....1..0..0..0....0..0..1..1....0..0..1..0
..0..1..0..0....1..0..0..0....1..1..0..1....1..0..0..0....0..0..1..1
..1..0..1..1....1..1..0..0....0..0..0..1....0..1..0..0....0..1..0..1
		

Formula

Empirical: a(n)=a(n-1)+30*a(n-2)+353*a(n-3)+1018*a(n-4)+2330*a(n-5)-4974*a(n-6)-12513*a(n-7)-48160*a(n-8)+76038*a(n-9)-1804*a(n-10)+459554*a(n-11)-893573*a(n-12)+1064820*a(n-13)-2834353*a(n-14)+4416849*a(n-15)-4991019*a(n-16)+7852216*a(n-17)-9539748*a(n-18)+8974081*a(n-19)-11030703*a(n-20)+11117467*a(n-21)-8269326*a(n-22)+8553264*a(n-23)-7572189*a(n-24)+4171369*a(n-25)-3707495*a(n-26)+2986282*a(n-27)-797205*a(n-28)+535762*a(n-29)-671915*a(n-30)+108970*a(n-31)-20353*a(n-32)+102061*a(n-33)-15881*a(n-34)-3491*a(n-35)-10455*a(n-36)+1665*a(n-37)+582*a(n-38)+709*a(n-39)-121*a(n-40)-40*a(n-41)-30*a(n-42)+5*a(n-43)+2*a(n-44)+a(n-45)

A188563 Number of nX5 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

24, 576, 7722, 127951, 2109386, 33878337, 550371695, 8927734479, 144690439154, 2346488899945, 38046632240393, 616893545538780, 10002761857812112, 162189251938735563, 2629815638615310378, 42641195365724382052
Offset: 1

Views

Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Column 5 of A188567

Examples

			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
		

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)

A188564 Number of nX6 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

44, 1936, 42712, 1204078, 33878337, 924245906, 25507294349, 703601341153, 19385833712450, 534376376148754, 14729728015524015, 405999164002796680, 11190832837280857035, 308460516372631128792, 8502292714849587051901
Offset: 1

Views

Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Column 6 of A188567

Examples

			Some solutions for 3X6
..0..0..1..0..0..0....0..0..1..0..1..1....0..0..0..0..0..1....1..0..0..1..1..0
..0..1..0..1..1..0....1..0..0..1..0..1....1..1..0..1..0..1....0..0..0..1..0..0
..1..0..0..0..0..0....0..1..1..0..0..0....0..0..1..0..0..0....0..1..0..0..0..0
		

A188565 Number of nX7 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

81, 6561, 237116, 11433452, 550371695, 25507294349, 1199747927824, 56394861720488, 2646119200975135, 124263900074691604, 5835027374030395082, 273966247390359990893, 12864061918841330330771, 604024661760799430803651
Offset: 1

Views

Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Column 7 of A188567

Examples

			Some solutions for 3X7
..0..0..0..1..0..0..0....0..0..0..0..0..0..1....0..0..1..0..1..0..1
..0..0..1..0..1..1..0....0..0..0..0..1..0..0....0..0..1..0..0..1..0
..1..0..1..0..0..0..0....0..0..1..0..1..1..0....1..1..0..0..0..1..0
		

A188566 Number of nX8 binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.

Original entry on oeis.org

149, 22201, 1315783, 108485757, 8927734479, 703601341153, 56394861720488, 4515869742994831, 360954508416470472, 28877150666649667161, 2309866725886227499401, 184755280244849565353940
Offset: 1

Views

Author

R. H. Hardin Apr 04 2011

Keywords

Comments

Column 8 of A188567

Examples

			Some solutions for 3X8
..0..0..0..1..0..1..0..0....0..0..0..0..0..1..1..0....0..0..1..0..0..1..1..0
..0..1..1..0..1..1..0..0....0..0..1..1..0..0..1..1....0..0..1..0..0..1..0..0
..0..0..0..0..1..0..0..1....0..0..1..0..0..0..0..0....0..1..0..0..0..0..1..1
		
Showing 1-7 of 7 results.