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 1-10 of 15 results. Next

A188607 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 20, 144, 211, 144, 20, 33, 400, 847, 883, 400, 33, 54, 1089, 3282, 4914, 3354, 1089, 54, 88, 2916, 12405, 26723, 24711, 12529, 2916, 88, 143, 7744, 45860, 140617, 181626, 123984, 45705, 7744, 143, 232, 20449, 167525, 721597
Offset: 1

Views

Author

R. H. Hardin Apr 05 2011

Keywords

Comments

Table starts
...2.....4.......7.......12.........20..........33............54.............88
...4....16......49......144........400........1089..........2916...........7744
...7....49.....211......847.......3282.......12405.........45860.........167525
..12...144.....883.....4914......26723......140617........721597........3648942
..20...400....3354....24711.....181626.....1288734.......8951764.......61078115
..33..1089...12529...123984....1238275....11895711.....111888105.....1031943536
..54..2916...45705...602049....8077216...104225541....1318303126....16339159241
..88..7744..165506..2925040...52884231...919272280...15651179908...260970703443
.143.20449..595370.14100232..342253692..7996186202..182869043451..4096182114761
.232.53824.2135861.67998376.2219051847.69774651726.2144672066828.64567134345340

Examples

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

Links

Crossrefs

Row 1 and Column 1 are A000071(n+3)
Row 2 and Column 2 are A188516

A188851 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 20, 144, 219, 144, 20, 33, 400, 908, 958, 400, 33, 54, 1089, 3642, 5711, 3860, 1089, 54, 88, 2916, 14265, 33037, 32204, 15358, 2916, 88, 143, 7744, 54914, 185351, 262588, 181557, 59939, 7744, 143, 232, 20449, 209116, 1020454
Offset: 1

Views

Author

R. H. Hardin Apr 12 2011

Keywords

Comments

Table starts
...2.....4.......7........12.........20...........33.............54
...4....16......49.......144........400.........1089...........2916
...7....49.....219.......908.......3642........14265..........54914
..12...144.....958......5711......33037.......185351........1020454
..20...400....3860.....32204.....262588......2065977.......16000078
..33..1089...15358....181557....2092409.....23131221......251306086
..54..2916...59939...1001368...16242526....251417066.....3821933610
..88..7744..232747...5521489..126202999...2738402462....58235424734
.143.20449..899307..30306759..975352031..29645845119...881525407714
.232.53824.3468816.166323490.7539816897.321142446865.13352533241696

Examples

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

Links

Crossrefs

Row 1 and Column 1 are A000071(n+3)
Row 2 and Column 2 are A188516

A188992 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 20, 144, 295, 256, 32, 33, 400, 1256, 1793, 1024, 64, 54, 1089, 5304, 10812, 10871, 4096, 128, 88, 2916, 21952, 68064, 92532, 65937, 16384, 256, 143, 7744, 89744, 423606, 852448, 791388, 399911, 65536, 512, 232, 20449
Offset: 1

Views

Author

R. H. Hardin Apr 15 2011

Keywords

Comments

Table starts
....2.......4........7.........12...........20.............33...............54
....4......16.......49........144..........400...........1089.............2916
....8......64......295.......1256.........5304..........21952............89744
...16.....256.....1793......10812........68064.........423606..........2613530
...32....1024....10871......92532.......852448........7844188.........72609144
...64....4096....65937.....791388.....10682432......144733702.......2002277608
..128...16384...399911....6768028....133744640.....2668260348......55080396536
..256...65536..2425505...57879084...1674569728....49183191266....1515192856324
..512..262144.14710935..494973804..20965958400...906546313088...41677443278252
.1024.1048576.89223345.4232940812.262498839552.16709359181770.1146393385863412

Examples

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

Links

Crossrefs

Column 2 is Column 1 squared
Row 1 is A000071(n+3)
Row 2 is A188516

A189264 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.

Original entry on oeis.org

2, 4, 4, 7, 16, 8, 12, 49, 64, 16, 20, 144, 280, 256, 32, 33, 400, 1156, 1600, 1024, 64, 54, 1089, 4720, 8900, 8985, 4096, 128, 88, 2916, 18960, 52748, 65760, 50397, 16384, 256, 143, 7744, 74869, 308266, 552752, 481552, 282332, 65536, 512, 232, 20449, 293495
Offset: 1

Views

Author

R. H. Hardin Apr 19 2011

Keywords

Comments

Table starts
....2.......4........7.........12..........20............33..............54
....4......16.......49........144.........400..........1089............2916
....8......64......280.......1156........4720.........18960...........74869
...16.....256.....1600.......8900.......52748........308266.........1771206
...32....1024.....8985......65760......552752.......4628486........38600001
...64....4096....50397.....481552.....5746968......68635317.......830564651
..128...16384...282332....3510380....59399960....1010709182.....17747766886
..256...65536..1581428...25556548...613358776...14861981162....379055775099
..512..262144..8857677..185975588..6329670680..218354201468...8092834825779
.1024.1048576.49611209.1353139492.65317473848.3207581304325.172797606124166

Examples

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

Links

Crossrefs

Row 1 is A000071(n+3)
Row 2 is A188516

A189196 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally.

Original entry on oeis.org

2, 4, 4, 8, 16, 7, 16, 64, 49, 12, 32, 256, 316, 144, 20, 64, 1024, 2032, 1494, 400, 33, 128, 4096, 13045, 15326, 6446, 1089, 54, 256, 16384, 83737, 156564, 101628, 27170, 2916, 88, 512, 65536, 537496, 1598444, 1579664, 657028, 111778, 7744, 143, 1024, 262144
Offset: 1

Views

Author

R. H. Hardin Apr 18 2011

Keywords

Comments

Table starts
...2.....4.......8........16...........32.............64..............128
...4....16......64.......256.........1024...........4096............16384
...7....49.....316......2032........13045..........83737...........537496
..12...144....1494.....15326.......156564........1598444.........16316636
..20...400....6446....101628......1579664.......24496092........379515360
..33..1089...27170....657028.....15564047......367115337.......8646366042
..54..2916..111778...4109278....146936454.....5218915180.....184841938568
..88..7744..455376..25421672...1372985912....73539558380....3925306136096
.143.20449.1841116.155713446..12673978495..1021199649839...81929775932500
.232.53824.7415070.949556490.116484051544.14125557202206.1704770564043390

Examples

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

Links

Crossrefs

Column 1 is A000071(n+3)
Column 2 is A188516
Row 3 is A188868

A189696 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally.

Original entry on oeis.org

2, 4, 4, 8, 16, 7, 16, 64, 49, 12, 32, 256, 292, 144, 20, 64, 1024, 1723, 1298, 400, 33, 128, 4096, 10327, 11637, 5172, 1089, 54, 256, 16384, 61996, 107720, 65297, 20316, 2916, 88, 512, 65536, 371641, 997264, 862652, 370045, 77752, 7744, 143, 1024, 262144
Offset: 1

Views

Author

R. H. Hardin Apr 25 2011

Keywords

Comments

Table starts
...2.....4.......8........16..........32............64.............128
...4....16......64.......256........1024..........4096...........16384
...7....49.....292......1723.......10327.........61996..........371641
..12...144....1298.....11637......107720........997264.........9205575
..20...400....5172.....65297......862652......11451149.......151788273
..33..1089...20316....370045.....7174919.....140346362......2748122586
..54..2916...77752...1999150....55423132....1553640701.....43645304766
..88..7744..295720..10867960...437257670...17872674996....733660344149
.143.20449.1117080..58328512..3370409239..198287096355..11722251157012
.232.53824.4209924.313915268.26229648516.2240961706438.192737455311869

Examples

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

Links

Crossrefs

Column 1 is A000071(n+3)
Column 2 is A188516
Row 3 is A188748

A207088 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 13, 49, 49, 12, 24, 169, 241, 144, 20, 44, 576, 1393, 1117, 400, 33, 81, 1936, 7915, 10621, 4891, 1089, 54, 149, 6561, 44065, 98824, 75221, 20953, 2916, 88, 274, 22201, 248525, 894720, 1128580, 518001, 88465, 7744, 143, 504, 75076, 1398065
Offset: 1

Views

Author

R. H. Hardin Feb 15 2012

Keywords

Comments

Table starts
..2....4......7.......13.........24..........44............81.............149
..4...16.....49......169........576........1936..........6561...........22201
..7...49....241.....1393.......7915.......44065........248525.........1398065
.12..144...1117....10621......98824......894720.......8244759........75709453
.20..400...4891....75221....1128580....16421568.....243794389......3604761693
.33.1089..20953...518001...12462017...289951889....6897033117....163328551845
.54.2916..88465..3500117..134515416..4992838052..189659424011...7170730063393
.88.7744.370753.23428181.1435875920.84911938560.5142718466575.309962689144609

Examples

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

Links

Crossrefs

Column 1 is A000071(n+3)
Column 2 is A188516
Row 1 is A000073(n+3)
Row 2 is A085697(n+1)

A206936 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 7, 16, 7, 13, 49, 49, 12, 24, 169, 211, 144, 20, 44, 576, 1153, 811, 400, 33, 81, 1936, 6139, 6837, 2791, 1089, 54, 149, 6561, 31529, 55088, 35277, 9055, 2916, 88, 274, 22201, 165783, 410000, 418876, 170409, 28081, 7744, 143, 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...811....6837.....55088.....410000.....3227589......25102409
.20..400..2791...35277....418876....4293648....48992069.....546661165
.33.1089..9055..170409...2967939...40316253...659747611...10405676997
.54.2916.28081..783557..20054092..348614952..8138711727..180107729045
.88.7744.84403.3498981.132811808.2858059128.95444167901.2968348851593

Examples

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

Links

Crossrefs

Column 1 is A000071(n+3)
Column 2 is A188516
Row 1 is A000073(n+3)
Row 2 is A085697(n+1)
Row 3 is A206872

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
Showing 1-10 of 15 results. Next

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

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