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

A207717 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 114, 81, 14, 26, 256, 450, 387, 196, 22, 42, 676, 1644, 2205, 1414, 484, 35, 68, 1764, 6186, 12015, 11970, 5302, 1225, 56, 110, 4624, 23010, 66339, 97580, 66946, 20265, 3136, 90, 178, 12100, 85992, 364869, 805154
Offset: 1

Views

Author

R. H. Hardin Feb 19 2012

Keywords

Comments

Table starts
..2....4.....6......10.......16.........26..........42............68
..4...16....36.....100......256........676........1764..........4624
..6...36...114.....450.....1644.......6186.......23010.........85992
..9...81...387....2205....12015......66339......364869.......2009223
.14..196..1414...11970....97580.....805154.....6614706......54438356
.22..484..5302...66946...820820...10150118...125165018....1545006848
.35.1225.20265..383845..7070805..131365535..2433018665...45118588165
.56.3136.78120.2221688.61530000.1717508184.47808913432.1332236625328

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A006355(n+2)
Row 2 is A206981

A207488 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 82, 81, 14, 18, 169, 217, 177, 196, 22, 25, 324, 499, 530, 408, 484, 35, 34, 625, 1014, 1322, 1459, 942, 1225, 56, 46, 1156, 2141, 2749, 4041, 3947, 2233, 3136, 90, 62, 2116, 4188, 6217, 8808, 12151, 11306, 5348, 8100, 145, 83
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Table starts
..2....4....6.....9.....13.....18.....25......34......46.......62.......83
..4...16...36....81....169....324....625....1156....2116.....3844.....6889
..6...36...82...217....499...1014...2141....4188....8150....15670....29517
..9...81..177...530...1322...2749...6217...12712...25908....52474...103704
.14..196..408..1459...4041...8808..21991...48044..105558...230156...490287
.22..484..942..3947..12151..26980..73325..170276..397692...935992..2150515
.35.1225.2233.11306..39050..89417.268275..667760.1691526..4324858.10910668
.56.3136.5348.32445.126411.292136.959855.2555724.6929562.19404152.53733153

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A171861(n+1)
Row 2 is A207025
Row 3 is A207270

A207500 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 102, 81, 14, 18, 169, 283, 297, 196, 22, 25, 324, 699, 1004, 932, 484, 35, 34, 625, 1526, 2942, 3939, 2974, 1225, 56, 46, 1156, 3355, 7305, 14253, 15495, 9723, 3136, 90, 62, 2116, 6888, 17911, 41938, 68745, 62530, 32164
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Table starts
..2....4.....6......9......13......18.......25........34........46.........62
..4...16....36.....81.....169.....324......625......1156......2116.......3844
..6...36...102....283.....699....1526.....3355......6888.....13954......27816
..9...81...297...1004....2942....7305....17911.....40262.....87990.....187012
.14..196...932...3939...14253...41938...122061....319798....813724....2009628
.22..484..2974..15495...68745..237576...804887...2408502...6896518...18962878
.35.1225..9723..62530..343310.1413961..5715255..20090516..67370124..216796950
.56.3136.32164.253747.1714707.8384076.40046975.163471950.628620128.2300337450

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A171861(n+1)
Row 2 is A207025
Row 3 is A207243

A207564 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 14, 81, 92, 81, 14, 21, 196, 241, 221, 196, 22, 31, 441, 720, 636, 618, 484, 35, 46, 961, 1889, 2234, 2135, 1690, 1225, 56, 68, 2116, 4719, 6315, 9568, 6709, 4861, 3136, 90, 100, 4624, 12102, 16812, 32823, 36426, 23276, 13900
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Table starts
..2....4.....6.....9.....14......21.......31........46........68........100
..4...16....36....81....196.....441......961......2116......4624......10000
..6...36....92...241....720....1889.....4719.....12102.....30414......74588
..9...81...221...636...2234....6315....16812.....47596....129150.....337186
.14..196...618..2135...9568...32823...106833....378104...1270366....4115246
.22..484..1690..6709..36426..138017...493471...1980774...7259428...25276248
.35.1225..4861.23276.160652..738515..3275898..16648464..77299468..346860730
.56.3136.13900.78733.666212.3451393.17232331.100565794.513390118.2498101416

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A038718(n+2)
Row 2 is A207069
Row 3 is A207414

A207661 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 84, 81, 14, 26, 256, 292, 198, 196, 22, 42, 676, 912, 870, 474, 484, 35, 68, 1764, 2812, 3358, 2774, 1140, 1225, 56, 110, 4624, 8928, 12040, 13902, 9060, 2748, 3136, 90, 178, 12100, 28152, 47320, 55752, 60762, 30440
Offset: 1

Views

Author

R. H. Hardin Feb 19 2012

Keywords

Comments

Table starts
..2....4....6.....10......16......26.......42.........68........110.........178
..4...16...36....100.....256.....676.....1764.......4624......12100.......31684
..6...36...84....292.....912....2812.....8928......28152......87972......277292
..9...81..198....870....3358...12040....47320.....182192.....676396.....2611234
.14..196..474...2774...13902...55752...284272....1391724....6009486....29516206
.22..484.1140...9060...60762..264568..1806676...11731102...56370696...366295198
.35.1225.2748..30440..284108.1296732.12327618..111194040..568720390..5097396968
.56.3136.6630.103838.1384420.6454684.87753008.1144562438.5955572036.76412972266

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A207341

A207752 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 12, 81, 102, 81, 14, 16, 144, 289, 270, 196, 22, 20, 256, 612, 900, 798, 484, 35, 25, 400, 1296, 2100, 3249, 2354, 1225, 56, 30, 625, 2340, 4900, 8778, 11449, 7210, 3136, 90, 36, 900, 4225, 9450, 23716, 34668, 42436, 22232, 8100, 145, 42
Offset: 1

Views

Author

R. H. Hardin Feb 19 2012

Keywords

Comments

Table starts
..2....4.....6......9.....12......16......20.......25.......30........36
..4...16....36.....81....144.....256.....400......625......900......1296
..6...36...102....289....612....1296....2340.....4225.....6890.....11236
..9...81...270....900...2100....4900....9450....18225....31185.....53361
.14..196...798...3249...8778...23716...51590...112225...213060....404496
.22..484..2354..11449..34668..104976..247860...585225..1182690...2390116
.35.1225..7210..42436.147084..509796.1341606..3530641..7826035..17347225
.56.3136.22232.157609.617732.2421136.6978660.20115225.47881860.113976976

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A002620(n+2)
Row 2 is A030179(n+2)
Row 3 is A207118

A207960 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 102, 81, 14, 19, 169, 281, 297, 196, 22, 28, 361, 699, 989, 932, 484, 35, 41, 784, 1799, 3080, 3923, 2974, 1225, 56, 60, 1681, 4706, 9994, 15839, 15921, 9723, 3136, 90, 88, 3600, 12161, 32358, 66089, 84013, 67007, 32164
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Table starts
..2....4.....6......9......13.......19........28.........41..........60
..4...16....36.....81.....169......361.......784.......1681........3600
..6...36...102....281.....699.....1799......4706......12161.......31356
..9...81...297....989....3080.....9994.....32358.....104176......335940
.14..196...932...3923...15839....66089....274310....1137227.....4717144
.22..484..2974..15921...84013...454223...2439422...13111617....70473286
.35.1225..9723..67007..463482..3256420..22743106..159145878..1113110358
.56.3136.32164.286299.2593815.23710041.215653086.1965912435.17907299730

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Column 3 is A207495
Row 1 is A000930(n+3)
Row 2 is A207170

A208108 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 78, 81, 14, 25, 225, 169, 171, 196, 22, 40, 625, 611, 361, 406, 484, 35, 64, 1600, 2209, 1805, 841, 990, 1225, 56, 104, 4096, 6016, 9025, 6235, 2025, 2485, 3136, 90, 169, 10816, 16384, 25555, 46225, 22995, 5041, 6328, 8100
Offset: 1

Views

Author

R. H. Hardin Feb 23 2012

Keywords

Comments

Table starts
..2....4....6.....9.....15.......25.......40.......64........104.........169
..4...16...36....81....225......625.....1600.....4096......10816.......28561
..6...36...78...169....611.....2209.....6016....16384......51840......164025
..9...81..171...361...1805.....9025....25555....72361.....292941.....1185921
.14..196..406...841...6235....46225...134160...389376....2189616....12313081
.22..484..990..2025..22995...261121...768544..2262016...18608992...153091129
.35.1225.2485..5041..89815..1600225..4747545.14085009..176312187..2207026441
.56.3136.6328.12769.361261.10220809.30461016.90782784.1769397240.34486347025

Examples

			Some solutions for n=10 k=3
..1..0..0....0..0..1....1..0..1....1..1..0....1..0..0....0..1..1....0..0..1
..0..0..1....1..0..0....0..1..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..0..0....0..1..1....0..0..1....1..1..0....1..1..0....0..1..1....1..0..1
..0..1..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..0..0....0..1..1....0..1..1....1..1..0....1..0..0....0..1..1....1..0..1
..0..1..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..0..0....0..0..1....1..1..1....1..1..0....1..0..0....0..1..1....1..1..1
..0..0..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..0..1
..1..1..0....0..1..1....1..1..1....1..1..0....1..0..0....0..1..1....0..0..1
..0..0..1....1..0..0....0..0..1....0..1..1....0..0..1....1..1..0....0..1..1
		

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Row 1 is A006498(n+2)
Row 2 is A189145(n+2)
Row 3 is A207730

A207741 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 114, 81, 14, 25, 225, 361, 387, 196, 22, 40, 625, 1425, 1849, 1414, 484, 35, 64, 1600, 5625, 10535, 10201, 5302, 1225, 56, 104, 4096, 20550, 60025, 86355, 58081, 20265, 3136, 90, 169, 10816, 75076, 327075, 731025
Offset: 1

Views

Author

R. H. Hardin Feb 19 2012

Keywords

Comments

Table starts
..2....4.....6.......9.......15.........25..........40............64
..4...16....36......81......225........625........1600..........4096
..6...36...114.....361.....1425.......5625.......20550.........75076
..9...81...387....1849....10535......60025......327075.......1782225
.14..196..1414...10201....86355.....731025.....5959350......48580900
.22..484..5302...58081...733363....9259849...113534330....1392036100
.35.1225.20265..335241..6349893..120275089..2215586241...40813292529
.56.3136.78120.1946025.55343835.1573946929.43590708750.1207251562500

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Column 3 is A207712
Row 1 is A006498(n+2)
Row 2 is A189145(n+2)
Row 3 is A207427

A207885 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 82, 81, 14, 19, 169, 221, 177, 196, 22, 28, 361, 493, 575, 408, 484, 35, 41, 784, 1095, 1360, 1673, 942, 1225, 56, 60, 1681, 2654, 3106, 4387, 4881, 2233, 3136, 90, 88, 3600, 6203, 8652, 10207, 14225, 14825, 5348, 8100, 145, 129
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Table starts
..2....4....6.....9.....13.....19......28.......41.......60........88.......129
..4...16...36....81....169....361.....784.....1681.....3600......7744.....16641
..6...36...82...221....493...1095....2654.....6203....14182.....33242.....77781
..9...81..177...575...1360...3106....8652....22114....53620....139806....360132
.14..196..408..1673...4387..10207...33976....97989...250976....751786...2196861
.22..484..942..4881..14225..33631..138552...452415..1213630...4316538..14467167
.35.1225.2233.14825..49586.119278..618202..2332602..6535778..28238814.110355600
.56.3136.5348.45411.175747.430317.2857532.12501427.36429646.195734448.894867543

Examples

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

Crossrefs

Column 1 is A001611(n+2)
Column 2 is A207436
Column 3 is A207483
Row 1 is A000930(n+3)
Row 2 is A207170
Row 3 is A207763
Showing 1-10 of 15 results. Next