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 1-9 of 9 results.

A189064 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 21, 144, 316, 256, 32, 37, 441, 1404, 2032, 1024, 64, 65, 1369, 6768, 13452, 13045, 4096, 128, 114, 4225, 33893, 99721, 128628, 83737, 16384, 256, 200, 12996, 167473, 795741, 1492864, 1228512, 537496, 65536, 512, 351, 40000
Offset: 1

Views

Author

R. H. Hardin Apr 16 2011

Keywords

Comments

Table starts
....2.......4.........7..........12............21..............37
....4......16........49.........144...........441............1369
....8......64.......316........1404..........6768...........33893
...16.....256......2032.......13452.........99721..........795741
...32....1024.....13045......128628.......1492864........19468046
...64....4096.....83737.....1228512......22289912.......477128662
..128...16384....537496....11733712.....333124565.....11711612310
..256...65536...3450100...112065936....4978704008....287687887135
..512..262144..22145617..1070316016...74410715409...7067105036501
.1024.1048576.142149013.10222334864.1112149145053.173620295413143

Examples

			Some solutions for 5X3
..1..0..0....0..0..1....1..0..1....0..0..1....0..0..1....1..1..1....1..1..0
..0..0..1....1..1..1....1..0..0....0..0..0....0..0..1....0..0..1....0..1..1
..1..1..1....0..1..1....0..0..1....0..0..0....1..1..0....1..0..0....1..1..1
..1..1..1....1..1..1....0..0..1....0..0..0....1..0..0....0..0..1....0..0..1
..1..0..0....0..0..1....0..1..1....1..0..1....0..0..0....1..1..0....0..1..1

Links

Crossrefs

Column 2 is Column 1 squared
Column 3 is A188868
Row 1 is A005251(n+3)
Row 2 is A188501

A189617 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 21, 144, 292, 256, 32, 37, 441, 1164, 1723, 1024, 64, 65, 1369, 5238, 8496, 10327, 4096, 128, 114, 4225, 25046, 50024, 65160, 61996, 16384, 256, 200, 12996, 116100, 357323, 532565, 515560, 371641, 65536, 512, 351, 40000
Offset: 1

Views

Author

R. H. Hardin Apr 24 2011

Keywords

Comments

Table starts
....2.......4........7.........12..........21.............37...............65
....4......16.......49........144.........441...........1369.............4225
....8......64......292.......1164........5238..........25046...........116100
...16.....256.....1723.......8496.......50024.........357323..........2482591
...32....1024....10327......65160......532565........6204967.........68121839
...64....4096....61996.....515560.....6110500......118571483.......2076231513
..128...16384...371641....4075336....69943253.....2239578131......61652076124
..256...65536..2227333...32031600...783072552....41236726541....1785011303305
..512..262144.13350748..251533888..8759983583...764615054191...52081392909734
.1024.1048576.80027347.1976926440.98440457351.14279876468131.1531637258052071

Examples

			Some solutions for 5X3
..1..1..0....0..0..1....1..1..1....1..1..1....1..1..1....0..0..1....0..0..0
..1..0..0....1..1..1....0..0..1....1..0..1....0..0..1....1..0..0....1..0..1
..0..1..1....0..1..1....0..0..1....1..0..1....0..0..1....0..1..1....0..0..0
..1..0..1....1..0..0....0..0..1....1..1..0....0..0..0....1..1..0....1..0..0
..1..0..0....1..0..1....1..0..0....1..1..0....0..0..1....1..1..1....1..0..0

Links

Crossrefs

Column 3 is A188748
Row 1 is A005251(n+3)
Row 2 is A188501

A206871 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 13, 49, 49, 12, 24, 169, 211, 144, 21, 44, 576, 1153, 889, 441, 37, 81, 1936, 6139, 7675, 3967, 1369, 65, 149, 6561, 31529, 63866, 55063, 17737, 4225, 114, 274, 22201, 165783, 502864, 728935, 397221, 78799, 12996, 200, 504, 75076, 867545
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Table starts
...2.....4......7.......13.........24..........44............81.............149
...4....16.....49......169........576........1936..........6561...........22201
...7....49....211.....1153.......6139.......31529........165783..........867545
..12...144....889.....7675......63866......502864.......4108471........33311703
..21...441...3967....55063.....728935.....8942469.....115505069......1476136671
..37..1369..17737...397221....8373905...159327093....3254925997.....65503023421
..65..4225..78799..2841311...95207761..2805723059...90497940567...2863087460903
.114.12996.350017.20294131.1080443638.49382253588.2513905109615.125050630010443

Examples

			Some solutions for n=4 k=3
..1..1..0....1..1..0....1..0..0....0..0..1....0..1..0....1..1..1....0..0..1
..0..0..1....0..0..1....0..0..1....0..0..1....1..0..1....1..1..0....0..0..1
..0..0..1....0..0..1....0..0..1....1..1..1....0..0..1....1..0..0....0..0..1
..1..0..0....0..1..1....0..1..1....0..0..1....0..1..0....1..0..1....1..1..1

Links

Crossrefs

Column 1 is A005251(n+3)
Column 2 is A188501
Row 1 is A000073(n+3)
Row 2 is A085697(n+1)

A207182 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 1 0 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 13, 49, 49, 12, 24, 169, 241, 144, 21, 44, 576, 1393, 1171, 441, 37, 81, 1936, 7915, 11227, 5917, 1369, 65, 149, 6561, 44065, 105836, 95299, 30067, 4225, 114, 274, 22201, 248525, 981850, 1507355, 816667, 151981, 12996, 200, 504, 75076
Offset: 1

Views

Author

R. H. Hardin Feb 15 2012

Keywords

Comments

Table starts
...2.....4......7.......13.........24...........44.............81
...4....16.....49......169........576.........1936...........6561
...7....49....241.....1393.......7915........44065.........248525
..12...144...1171....11227.....105836.......981850........9196215
..21...441...5917....95299....1507355.....23471595......368714705
..37..1369..30067...816667...21722593....567046841....14960137403
..65..4225.151981..6951227..310484943..13575513917...600838995529
.114.12996.767377.59040685.4425513760.324280404464.24069606968809

Examples

			Some solutions for n=4 k=3
..0..0..1....0..1..0....0..1..1....0..0..1....1..0..0....1..0..0....1..1..1
..0..0..1....1..0..1....0..1..1....0..0..1....0..0..1....1..0..1....1..1..0
..1..1..1....1..0..1....0..1..1....1..0..1....1..0..1....1..0..1....1..0..1
..1..1..0....1..1..0....0..1..1....1..0..0....1..1..1....1..0..1....1..1..1

Links

Crossrefs

Column 1 is A005251(n+3)
Column 2 is A188501
Row 1 is A000073(n+3)
Row 2 is A085697(n+1)
Row 3 is A207089

A206889 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 240, 144, 20, 37, 441, 1103, 1112, 400, 33, 65, 1369, 5357, 7878, 4792, 1089, 54, 114, 4225, 26564, 59812, 51800, 20129, 2916, 88, 200, 12996, 130828, 467146, 607043, 330951, 82807, 7744, 143, 351, 40000, 641137
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Table starts
..2....4......7.......12........21..........37............65............114
..4...16.....49......144.......441........1369..........4225..........12996
..7...49....240.....1103......5357.......26564........130828.........641137
.12..144...1112.....7878.....59812......467146.......3619683.......27856426
.20..400...4792....51800....607043.....7354488......88342972.....1052865902
.33.1089..20129...330951...5963040...111550389....2067672443....37988878275
.54.2916..82807..2070564..57268342..1648854501...47015346159..1328156697136
.88.7744.337209.12830802.544455870.24096775331.1055711535814.45805591252624

Examples

			Some solutions for n=4 k=3
..1..1..0....0..1..1....1..1..0....0..0..1....0..0..0....0..0..1....1..0..0
..0..0..0....0..1..1....0..0..0....0..0..0....1..0..0....0..1..1....1..0..1
..1..1..1....0..1..1....1..1..1....1..1..1....0..1..1....1..0..0....1..0..1
..1..0..0....0..1..1....0..1..1....0..0..0....1..0..1....1..1..1....1..0..1

Links

Crossrefs

Column 1 is A000071(n+3)
Column 2 is A188516
Column 3 is A188757
Row 1 is A005251(n+3)
Row 2 is A188501
Row 3 is A188768

A207000 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 230, 144, 20, 37, 441, 1011, 1020, 400, 33, 65, 1369, 4705, 6612, 4120, 1089, 54, 114, 4225, 22412, 45932, 38144, 16109, 2916, 88, 200, 12996, 105936, 329734, 382349, 211471, 61003, 7744, 143, 351, 40000, 497727
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Table starts
..2....4......7......12........21.........37...........65...........114
..4...16.....49.....144.......441.......1369.........4225.........12996
..7...49....230....1011......4705......22412.......105936........497727
.12..144...1020....6612.....45932.....329734......2346621......16555996
.20..400...4120...38144....382349....3997768.....41429335.....424457832
.33.1089..16109..211471...3032756...45723467....683241763...10070110597
.54.2916..61003.1124120..22816988..490003769..10432265840..218637649146
.88.7744.227197.5856490.167677230.5103567157.154004233160.4567604720632

Examples

			Some solutions for n=4 k=3
..0..0..1....1..1..0....0..0..1....0..0..1....1..1..1....1..0..0....0..1..1
..0..0..0....1..0..1....0..1..1....0..0..1....1..1..1....0..0..1....1..0..0
..1..0..1....1..0..0....1..0..0....0..0..1....0..1..1....1..0..0....0..0..1
..0..0..0....0..1..1....0..0..0....1..1..1....0..1..1....0..1..1....1..1..0

Links

Crossrefs

Column 1 is A000071(n+3)
Column 2 is A188516
Column 3 is A206780
Row 1 is A005251(n+3)
Row 2 is A188501
Row 3 is A206878

A188695 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 218, 144, 21, 37, 441, 857, 857, 441, 37, 65, 1369, 3609, 4008, 3609, 1369, 65, 114, 4225, 15942, 20662, 20662, 15942, 4225, 114, 200, 12996, 69852, 120839, 139307, 120839, 69852, 12996, 200, 351, 40000, 302053
Offset: 1

Views

Author

R. H. Hardin Apr 08 2011

Keywords

Comments

Table starts
...2......4.......7........12.........21...........37.............65
...4.....16......49.......144........441.........1369...........4225
...7.....49.....218.......857.......3609........15942..........69852
..12....144.....857......4008......20662.......120839.........708519
..21....441....3609.....20662.....139307......1181340........9908740
..37...1369...15942....120839....1181340.....15547072......196218615
..65...4225...69852....708519....9908740....196218615.....3647921173
.114..12996..302053...3984317...75877068...2192313402....58576420100
.200..40000.1305379..22096751..567455273..24054473035...923989193674
.351.123201.5658937.123685638.4366586742.276006561506.15401563228402

Examples

			Some solutions for 6X4
..0..0..0..0....0..0..0..1....1..1..0..1....1..1..1..0....0..1..1..1
..1..0..0..0....1..1..0..0....0..0..0..0....1..0..0..0....0..0..1..1
..1..0..0..0....1..1..1..0....1..0..0..1....1..0..0..0....0..0..1..1
..0..0..0..0....1..1..1..1....1..0..0..1....1..0..0..0....1..0..0..1
..1..0..0..0....1..1..0..1....1..0..1..1....1..0..0..0....1..0..0..1
..1..0..0..0....1..1..0..0....1..0..1..1....1..0..0..1....1..0..0..0

Links

Crossrefs

Column 1 is A005251(n+3)
Column 2 is A188501

A188774 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 vertically or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 240, 144, 21, 37, 441, 1103, 1103, 441, 37, 65, 1369, 5357, 7868, 5357, 1369, 65, 114, 4225, 26564, 60215, 60215, 26564, 4225, 114, 200, 12996, 130828, 471349, 738031, 471349, 130828, 12996, 200, 351, 40000, 641137
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Table starts
...2......4........7.........12...........21.............37...............65
...4.....16.......49........144..........441...........1369.............4225
...7.....49......240.......1103.........5357..........26564...........130828
..12....144.....1103.......7868........60215.........471349..........3658041
..21....441.....5357......60215.......738031........9260851........114928827
..37...1369....26564.....471349......9260851......186969392.......3725504150
..65...4225...130828....3658041....114928827.....3725504150.....118984786902
.114..12996...641137...28240356...1418719059....73772281769....3772804871287
.200..40000..3143331..218167554..17534258973..1462969839335..119816916752612
.351.123201.15426387.1687182731.216934553467.29048017912245.3810670337663147

Examples

			Some solutions for 5X3
..0..1..1....1..1..1....1..1..0....0..0..1....0..0..1....0..0..0....1..0..0
..0..0..0....1..1..0....1..1..0....0..0..0....1..0..1....0..0..0....1..1..1
..1..1..0....0..0..0....1..0..0....0..0..1....1..0..1....0..0..1....1..1..1
..1..1..1....0..0..1....1..1..1....0..1..1....1..0..0....0..0..1....0..0..1
..0..1..1....0..1..1....0..1..1....1..1..1....0..0..0....1..0..0....0..0..1

Links

Crossrefs

Column 1 is A005251(n+3)
Column 2 is A188501

A206883 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 230, 144, 21, 37, 441, 1011, 1011, 441, 37, 65, 1369, 4705, 6478, 4705, 1369, 65, 114, 4225, 22412, 44879, 44879, 22412, 4225, 114, 200, 12996, 105936, 321393, 472412, 321393, 105936, 12996, 200, 351, 40000, 497727
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Table starts
...2.....4......7.......12........21..........37...........65............114
...4....16.....49......144.......441........1369.........4225..........12996
...7....49....230.....1011......4705.......22412.......105936.........497727
..12...144...1011.....6478.....44879......321393......2276625.......15986104
..21...441...4705....44879....472412.....5179587.....56006452......599130203
..37..1369..22412...321393...5179587....87541530...1455584860....23905464739
..65..4225.105936..2276625..56006452..1455584860..37121455086...933389392995
.114.12996.497727.15986104.599130203.23905464739.933389392995.35861331864570

Examples

			Some solutions for n=4 k=3
..0..0..1....0..1..1....1..0..0....0..0..1....1..0..1....0..1..1....1..1..1
..0..0..0....1..1..0....0..0..0....0..1..1....0..1..1....0..0..1....1..0..1
..1..1..0....0..0..0....0..1..1....0..1..1....0..0..1....0..0..1....0..0..1
..0..1..1....0..0..1....1..1..0....0..1..1....1..0..0....0..0..1....0..1..1

Links

Crossrefs

Column 1 is A005251(n+3)
Column 2 is A188501
Showing 1-9 of 9 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.