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 11-15 of 15 results.

A207693 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 60, 81, 13, 25, 225, 100, 144, 169, 18, 40, 625, 240, 256, 312, 324, 25, 64, 1600, 576, 768, 576, 612, 625, 34, 104, 4096, 1296, 2304, 1872, 1156, 1250, 1156, 46, 169, 10816, 2916, 5856, 6084, 4216, 2500, 2516, 2116, 62, 273
Offset: 1

Views

Author

R. H. Hardin Feb 19 2012

Keywords

Comments

Table starts
..2....4....6....9....15.....25.....40......64.....104......169.......273
..4...16...36...81...225....625...1600....4096...10816....28561.....74529
..6...36...60..100...240....576...1296....2916....6804....15876.....36288
..9...81..144..256...768...2304...5856...14884...42700...122500....320600
.13..169..312..576..1872...6084..18564...56644..177548...556516...1724752
.18..324..612.1156..4216..15376..50096..163216..578528..2050624...6804864
.25..625.1250.2500.10000..40000.145200..527076.2056032..8020224..29854944
.34.1156.2516.5476.24420.108900.453420.1887876.8263236.36168196.155101060

Examples

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

Links

Crossrefs

Column 1 is A171861(n+1)
Column 2 is A207025
Column 3 is A207584
Row 1 is A006498(n+2)
Row 2 is A189145(n+2)

A207908 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 102, 81, 13, 25, 225, 289, 261, 169, 18, 40, 625, 1071, 841, 611, 324, 25, 64, 1600, 3969, 4089, 2209, 1278, 625, 34, 104, 4096, 13230, 19881, 13865, 5041, 2625, 1156, 46, 169, 10816, 44100, 80511, 87025, 39831, 11025
Offset: 1

Views

Author

R. H. Hardin Feb 21 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..102...289...1071....3969....13230.....44100.....153090......531441
..9...81..261...841...4089...19881....80511....326041....1428071.....6255001
.13..169..611..2209..13865...87025...417425...2002225...10896915....59305401
.18..324.1278..5041..39831..314721..1726758...9474084...62431074...411400089
.25..625.2625.11025.110775.1113025..6835345..41977441..336253621..2693506201
.34.1156.5134.22801.289467.3674889.24832818.167806116.1627138986.15777620881

Examples

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

Links

Crossrefs

Column 1 is A171861(n+1)
Column 2 is A207025
Row 1 is A006498(n+2)
Row 2 is A189145(n+2)
Row 3 is A207704

A207785 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 98, 81, 13, 18, 169, 257, 253, 169, 19, 25, 324, 611, 791, 621, 361, 28, 34, 625, 1326, 2173, 2200, 1575, 784, 41, 46, 1156, 2815, 5241, 6766, 6418, 4000, 1681, 60, 62, 2116, 5718, 12567, 17763, 22322, 19041, 10057, 3600, 88, 83
Offset: 1

Views

Author

R. H. Hardin Feb 20 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....98...257....611...1326....2815....5718....11362....22164.....42507
..9...81...253...791...2173...5241...12567...28101....61397...131083....272789
.13..169...621..2200...6766..17763...46199..110732...257118...582114...1274558
.19..361..1575..6418..22322..65094..185613..486006..1224264..2997835...7098270
.28..784..4000.19041..75557.246087..786907.2283773..6379507.17308075..45325727
.41.1681.10057.55101.246840.887406.3121285.9855231.29800935.87179997.244806537

Examples

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

Links

Crossrefs

Column 1 is A000930(n+3)
Column 2 is A207170
Column 3 is A203084(n-2)
Row 1 is A171861(n+1)
Row 2 is A207025
Row 3 is A202371(n-2)

A208420 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 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, 261, 169, 18, 42, 676, 1260, 1269, 611, 324, 25, 68, 1764, 4374, 5139, 3835, 1278, 625, 34, 110, 4624, 14946, 22509, 18395, 10098, 2625, 1156, 46, 178, 12100, 51384, 95265, 100113, 55404, 26375
Offset: 1

Views

Author

R. H. Hardin Feb 26 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..102...378...1260....4374....14946.....51384.....176238......605022
..9...81..261..1269...5139...22509....95265....409239....1746639.....7475751
.13..169..611..3835..18395..100113...512525...2702193...14044303....73505289
.18..324.1278.10098..55404..365094..2187162..13759164...84389022...524422458
.25..625.2625.26375.161975.1297475..8948825..67061525..479579725..3521095775
.34.1156.5134.65178.440436.4270706.33334858.295643872.2428615750.20882937190

Examples

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

Links

Crossrefs

Column 1 is A171861(n+1)
Column 2 is A207025
Column 3 is A207903
Row 1 is A006355(n+2)
Row 2 is A206981
Row 3 is A060521

A207514 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.

Original entry on oeis.org

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 13, 81, 72, 81, 13, 18, 169, 166, 166, 169, 18, 25, 324, 360, 438, 360, 324, 25, 34, 625, 660, 1042, 1042, 660, 625, 34, 46, 1156, 1292, 1992, 2638, 1992, 1292, 1156, 46, 62, 2116, 2400, 4168, 5334, 5334, 4168, 2400, 2116, 62, 83, 3844
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.....111
..4...16...36...81...169...324....625...1156...2116...3844....6889...12321
..6...36...72..166...360...660...1292...2400...4396...8096...14580...26346
..9...81..166..438..1042..1992...4168...8174..15881..30801...58335..111083
.13..169..360.1042..2638..5334..11465..23663..47894..96640..191362..379376
.18..324..660.1992..5334.10340..22960..46826..94601.192192..375592..746568
.25..625.1292.4168.11465.22960..50322.105370.214519.434467..859485.1700263
.34.1156.2400.8174.23663.46826.105370.221672.455400.933158.1848347.3679944

Examples

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

Links

Crossrefs

Column 1 is A171861(n+1)
Column 2 is A207025
Previous Showing 11-15 of 15 results.

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

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