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.

Previous Showing 11-20 of 31 results. Next

A208028 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 102, 81, 13, 26, 256, 378, 279, 169, 19, 42, 676, 1260, 1377, 741, 361, 28, 68, 1764, 4374, 5895, 4823, 1995, 784, 41, 110, 4624, 14946, 26685, 26845, 17119, 5404, 1681, 60, 178, 12100, 51384, 118179, 158847, 123709
Offset: 1

Views

Author

R. H. Hardin Feb 22 2012

Keywords

Comments

Table starts
..2....4.....6.....10......16.......26........42.........68.........110
..4...16....36....100.....256......676......1764.......4624.......12100
..6...36...102....378....1260.....4374.....14946......51384......176238
..9...81...279...1377....5895....26685....118179.....527913.....2350215
.13..169...741...4823...26845...158847....917293....5349227....31070195
.19..361..1995..17119..123709...955073...7184755...54606513...413322903
.28..784..5404..61292..574560..5788524..56728924..561913408..5542832148
.41.1681.14555.218243.2652823.34901455.445530887.5753550295.73969794325

Examples

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

Links

Crossrefs

Column 1 is A000930(n+3)
Column 2 is A207170
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A060521

A208501 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 60, 81, 13, 26, 256, 144, 126, 169, 19, 42, 676, 324, 324, 234, 361, 28, 68, 1764, 756, 828, 650, 456, 784, 41, 110, 4624, 1728, 2124, 1794, 1406, 896, 1681, 60, 178, 12100, 3996, 5436, 4992, 4104, 3024, 1722, 3600, 88
Offset: 1

Views

Author

R. H. Hardin Feb 27 2012

Keywords

Comments

Table starts
..2....4....6...10....16....26.....42......68.....110......178......288
..4...16...36..100...256...676...1764....4624...12100....31684....82944
..6...36...60..144...324...756...1728....3996....9180....21168....48708
..9...81..126..324...828..2124...5436...13932...35676....91404...234108
.13..169..234..650..1794..4992..13806...38376..106236...295074...817362
.19..361..456.1406..4104.12654..37430..114494..341012..1037552..3103650
.28..784..896.3024..9912.33488.111328..374416.1249472..4192384.14013664
.41.1681.1722.6150.21976.79376.286754.1037300.3752320.13577396.49125954

Examples

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

Links

Crossrefs

Column 1 is A000930(n+3)
Column 2 is A207170
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A207590

A208688 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 78, 81, 14, 26, 256, 282, 189, 196, 21, 42, 676, 768, 927, 490, 441, 31, 68, 1764, 2430, 2889, 3430, 1113, 961, 46, 110, 4624, 7086, 11727, 12096, 11067, 2449, 2116, 68, 178, 12100, 21588, 40581, 66094, 41013, 34627
Offset: 1

Views

Author

R. H. Hardin Mar 01 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...78....282....768....2430.....7086.....21588......64230......193554
..9...81..189....927...2889...11727....40581....154359.....554733.....2062215
.14..196..490...3430..12096...66094...269766...1331988....5795314....27403166
.21..441.1113..11067..41013..301035..1346961...8556723...42184905...249260739
.31..961.2449..34627.133207.1332721..6398617..53340739..290904031..2188890625
.46.2116.5474.111642.444912.6219706.31733422.358035204.2130519946.21086588370

Examples

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

Links

Crossrefs

Column 1 is A038718(n+2)
Column 2 is A207069
Column 3 is A207724
Row 1 is A006355(n+2)
Row 2 is A206981

Formula

Empirical for row n:
n=1: a(k)=a(k-1)+a(k-2)
n=2: a(k)=2*a(k-1)+2*a(k-2)-a(k-3)
n=3: a(k)=2*a(k-1)+4*a(k-2)-3*a(k-3)
n=4: a(k)=a(k-1)+10*a(k-2)+2*a(k-3)-10*a(k-4)
n=5: a(k)=a(k-1)+17*a(k-2)+4*a(k-3)-32*a(k-4)
n=6: a(k)=a(k-1)+26*a(k-2)+6*a(k-3)-78*a(k-4)
n=7: a(k)=a(k-1)+39*a(k-2)+9*a(k-3)-180*a(k-4)

A207774 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 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, 192, 196, 21, 42, 676, 912, 828, 450, 441, 31, 68, 1764, 2812, 3130, 2514, 972, 961, 46, 110, 4624, 8928, 11230, 11950, 7164, 2040, 2116, 68, 178, 12100, 28152, 43260, 49122, 43264, 20104
Offset: 1

Views

Author

R. H. Hardin Feb 20 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..192...828...3130...11230....43260....163710.....604340.....2295512
.14..196..450..2514..11950...49122...240346...1128862....4877154....23327018
.21..441..972..7164..43264..195160..1246206...7381202...35627804...220514498
.31..961.2040.20104.157472..759482..6513576..49975640..259077468..2150453548
.46.2116.4278.57458.597090.3023026.35632160.364308938.1972417684.22562076620

Examples

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

Links

Crossrefs

Column 1 is A038718(n+2)
Column 2 is A207069
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A207341
Row 4 is A207342

A207808 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 10, 16, 100, 102, 100, 16, 26, 256, 378, 370, 256, 26, 42, 676, 1260, 1970, 1232, 676, 42, 68, 1764, 4374, 9040, 9168, 4238, 1764, 68, 110, 4624, 14946, 43990, 57184, 44538, 14406, 4624, 110, 178, 12100, 51384, 209050, 382288
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Table starts
..2....4.....6......10.......16........26.........42..........68...........110
..4...16....36.....100......256.......676.......1764........4624.........12100
..6...36...102.....378.....1260......4374......14946.......51384........176238
.10..100...370....1970.....9040.....43990.....209050.....1002960.......4793390
.16..256..1232....9168....57184....382288....2485392....16340928.....106947696
.26..676..4238...44538...379444...3511534...31431114...285153752....2572767886
.42.1764.14406..212814..2472540..31569510..388134978..4844843724...60105117534
.68.4624.49164.1022652.16206848.285774964.4829044276.82999241712.1416863447084

Examples

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

Links

Crossrefs

Column 1 is A006355(n+2)
Column 2 is A206981
Column 3 is A207249
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A060521

A207858 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 15, 81, 102, 100, 16, 25, 225, 289, 370, 256, 26, 40, 625, 1071, 1369, 1232, 676, 42, 64, 1600, 3969, 7289, 5929, 4238, 1764, 68, 104, 4096, 13230, 38809, 44121, 26569, 14406, 4624, 110, 169, 10816, 44100, 178088, 328329
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Table starts
..2....4.....6......9.......15........25.........40..........64...........104
..4...16....36.....81......225.......625.......1600........4096.........10816
..6...36...102....289.....1071......3969......13230.......44100........153090
.10..100...370...1369.....7289.....38809.....178088......817216.......3976696
.16..256..1232...5929....44121....328329....2047902....12773476......85393582
.26..676..4238..26569...279219...2934369...24999522...212984836....1971051046
.42.1764.14406.117649..1737981..25674489..298294290..3465676900...44249929850
.68.4624.49164.522729.10873197.226171521.3584335104.56804048896.1001624438528

Examples

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

Links

Crossrefs

Column 1 is A006355(n+2)
Column 2 is A206981
Column 3 is A207249
Row 1 is A006498(n+2)
Row 2 is A189145(n+2)
Row 3 is A207704

A207895 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 13, 81, 84, 100, 16, 19, 169, 198, 292, 256, 26, 28, 361, 462, 870, 912, 676, 42, 41, 784, 1080, 2446, 3358, 2812, 1764, 68, 60, 1681, 2520, 6952, 11196, 12040, 8928, 4624, 110, 88, 3600, 5886, 20168, 38160, 49442, 47320, 28152
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Table starts
..2....4.....6......9......13......19.......28........41.........60.........88
..4...16....36.....81.....169.....361......784......1681.......3600.......7744
..6...36....84....198.....462....1080.....2520......5886......13746......32100
.10..100...292....870....2446....6952....20168.....57838.....164914.....473632
.16..256...912...3358...11196...38160...135714....471374....1605156....5575548
.26..676..2812..12040...49442..205258...856480...3559040...14795830...61589756
.42.1764..8928..47320..231900.1153532..5888458..29719004..148308700..747498440
.68.4624.28152.182192.1070030.6420722.39828558.243318702.1460399404.8907998820

Examples

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

Links

Crossrefs

Column 1 is A006355(n+2)
Column 2 is A206981
Column 3 is A207341
Column 4 is A207662
Row 1 is A000930(n+3)
Row 2 is A207170

A207918 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 13, 81, 98, 100, 16, 19, 169, 271, 358, 256, 26, 28, 361, 665, 1309, 1152, 676, 42, 41, 784, 1675, 4181, 5371, 3910, 1764, 68, 60, 1681, 4344, 13759, 21145, 23637, 12994, 4624, 110, 88, 3600, 11081, 46800, 86255, 117835
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....98....271.....665.....1675......4344......11081.......28136
.10..100...358...1309....4181....13759.....46800.....156135......518564
.16..256..1152...5371...21145....86255....366330....1520815.....6276388
.26..676..3910..23637..117835...612439...3327954...17621905....92785236
.42.1764.12994.101069..628945..4105063..28188778..187980955..1245595210
.68.4624.43596.438103.3426491.28280693.247024548.2088382007.17532981294

Examples

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

Links

Crossrefs

Column 1 is A006355(n+2)
Column 2 is A206981
Column 3 is A207462
Row 1 is A000930(n+3)
Row 2 is A207170
Row 3 is A207306

A208069 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 72, 81, 12, 26, 256, 240, 144, 144, 16, 42, 676, 704, 576, 216, 256, 20, 68, 1764, 2080, 1936, 1008, 324, 400, 25, 110, 4624, 6216, 6400, 3696, 1764, 432, 625, 30, 178, 12100, 18496, 21904, 12960, 7056, 2688, 576, 900, 36
Offset: 1

Views

Author

R. H. Hardin Feb 23 2012

Keywords

Comments

Table starts
..2...4...6...10....16....26.....42......68.....110......178.......288
..4..16..36..100...256...676...1764....4624...12100....31684.....82944
..6..36..72..240...704..2080...6216...18496...55000...163760....487296
..9..81.144..576..1936..6400..21904...73984..250000...846400...2862864
.12.144.216.1008..3696.12960..48840..179520..657000..2423280...8913456
.16.256.324.1764..7056.26244.108900..435600.1726596..6937956..27751824
.20.400.432.2688.11424.44064.198000..844800.3542544.15213984..64859616
.25.625.576.4096.18496.73984.360000.1638400.7268416.33362176.151585344

Examples

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

Links

Crossrefs

Column 1 is A002620(n+2)
Column 2 is A030179(n+2)
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A207840
Row 4 is A207924

A208078 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 0 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 126, 81, 15, 26, 256, 510, 441, 225, 25, 42, 676, 1968, 2601, 1785, 625, 40, 68, 1764, 7722, 15129, 16065, 7225, 1600, 64, 110, 4624, 30114, 88209, 139605, 99225, 27880, 4096, 104, 178, 12100, 117708, 514089, 1228095
Offset: 1

Views

Author

R. H. Hardin, Feb 23 2012

Keywords

Examples

			Table starts
..2....4......6......10.......16.........26..........42............68
..4...16.....36.....100......256........676........1764..........4624
..6...36....126.....510.....1968.......7722.......30114........117708
..9...81....441....2601....15129......88209......514089.......2996361
.15..225...1785...16065...139605....1228095....10751415......94313535
.25..625...7225...99225..1288225...17098225...224850025....2968615225
.40.1600..27880..572040.11204720..223058440..4412968520...87523832240
.64.4096.107584.3297856.97456384.2909955136.86610135616.2580469555456
...
Some solutions for n=4 k=3
..0..1..0....0..1..1....1..0..0....0..1..0....1..0..0....1..1..1....0..1..1
..1..0..1....1..1..0....1..1..0....0..1..1....0..1..1....1..0..1....1..1..0
..1..0..1....1..0..1....1..1..1....1..1..1....0..1..1....1..1..1....1..1..0
..0..1..1....0..1..1....1..1..1....1..0..0....1..1..1....0..1..1....0..1..1

Links

Crossrefs

Column 1 is A006498(n+2)
Column 2 is A189145(n+2)
Column 3 is A202399(n-2)
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A202954(n-2)
Previous Showing 11-20 of 31 results. Next

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

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