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 1-4 of 4 results.

A222906 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.

Original entry on oeis.org

1, 1, 2, 1, 4, 5, 4, 7, 14, 15, 5, 25, 45, 75, 51, 14, 92, 373, 767, 411, 187, 17, 403, 1202, 7794, 4909, 2522, 715, 75, 1710, 18981, 101398, 180203, 119393, 15919, 2795, 95, 8021, 82020, 1346067, 2117424, 4320431, 759891, 103627, 11051, 411, 36160
Offset: 1

Views

Author

R. H. Hardin Mar 09 2013

Keywords

Comments

Table starts
......1.........1............1................4.................5
......2.........4............7...............25................92
......5........14...........45..............373..............1202
.....15........75..........767.............7794............101398
.....51.......411.........4909...........180203...........2117424
....187......2522.......119393..........4320431.........213112150
....715.....15919.......759891........105327353........4854855483
...2795....103627.....20299463.......2592612272......488736554328
..11051....683480....130579169......64243363904....11422629770589
..43947...4554799...3588643955....1600125512239..1152667562787040
.175275..30542304..23230932391...40022606753953.27237086853444410
.700075.205785953.647426033879.1004596097977296

Examples

			Some solutions for n=3 k=4
..0..1..1..1....0..0..0..0....0..0..0..1....0..0..0..0....0..1..1..1
..1..1..1..1....0..0..1..0....0..0..2..2....0..1..2..2....1..1..1..1
..1..0..1..1....0..0..1..1....2..2..2..2....2..2..2..2....1..1..1..0

Links

Crossrefs

Column 1 is A007581(n-1)
Row 1 is A222372

A222679 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.

Original entry on oeis.org

1, 1, 2, 1, 1, 5, 4, 5, 5, 15, 5, 10, 11, 18, 51, 14, 25, 58, 130, 63, 187, 17, 150, 142, 527, 670, 234, 715, 75, 359, 2398, 5374, 8276, 9587, 1163, 2795, 95, 2249, 6463, 58167, 69973, 133028, 51055, 4953, 11051, 411, 6511, 146947, 687222, 1999404, 3759625
Offset: 1

Views

Author

R. H. Hardin Feb 28 2013

Keywords

Comments

Table starts
......1......1........1.........4..........5.........14.........17.........75
......2......1........5........10.........25........150........359.......2249
......5......5.......11........58........142.......2398.......6463.....146947
.....15.....18......130.......527.......5374......58167.....687222...11377192
.....51.....63......670......8276......69973....1999404...20997839.1097897602
....187....234.....9587....133028....3759625...96510910.3254033272
....715...1163....51055...2363628...65204276.5825299399
...2795...4953...832433..40206464.4282689196
..11051..24021..4403793.727306856
..43947.109395.76270010
.175275.536457
.700075

Examples

			Some solutions for n=3 k=4
..0..1..0..0....0..0..0..0....0..1..0..1....0..0..0..1....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..2....0..0..0..0
..0..0..0..0....0..1..0..0....0..0..0..0....0..0..0..1....0..0..1..1

Links

Crossrefs

Column 1 is A007581(n-1)
Column 2 is A222373
Row 1 is A222372

A222479 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 5, 10, 5, 10, 5, 14, 11, 42, 42, 11, 14, 17, 126, 45, 235, 45, 126, 17, 75, 139, 1582, 1450, 1450, 1582, 139, 75, 95, 2033, 2953, 30883, 11994, 30883, 2953, 2033, 95, 411, 2229, 104833, 267772, 574388, 574388, 267772, 104833, 2229
Offset: 1

Views

Author

R. H. Hardin Feb 21 2013

Keywords

Comments

Table starts
....1......1.........1............4...............5...............14
....1......1.........1...........10..............11..............126
....1......1.........5...........42..............45.............1582
....4.....10........42..........235............1450............30883
....5.....11........45.........1450...........11994...........574388
...14....126......1582........30883..........574388.........18213127
...17....139......2953.......267772.........4927416........544804117
...75...2033....104833......7073732.......482530769......39402895960
...95...2229....179105.....67911068......4741171798....1636155043302
..411..36255...6910335...1835377464....481046300094..146686792732538
..519..39685..12297363..17762404598...4838816683797.6439927626021526
.2522.667198.463356818.478005487727.496656128182183

Examples

			Some solutions for n=4 k=4
..0..1..1..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..1
..1..1..1..1....0..0..0..2....0..0..0..2....0..0..0..0....0..0..0..1
..2..1..1..1....0..0..0..0....0..0..0..2....0..0..0..0....0..0..0..2
..0..1..1..1....0..0..0..2....0..0..0..1....1..1..0..1....0..0..0..0

Links

Crossrefs

Column 1 is A222372

A222616 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 12, 5, 12, 5, 14, 40, 65, 65, 40, 14, 17, 149, 181, 567, 181, 149, 17, 75, 615, 3545, 5746, 5746, 3545, 615, 75, 95, 2659, 11421, 85511, 60550, 85511, 11421, 2659, 95, 411, 11641, 243955, 1409334, 2921905, 2921905, 1409334
Offset: 1

Views

Author

R. H. Hardin Feb 26 2013

Keywords

Comments

Table starts
....1.......1..........1.............4..............5...............14
....1.......1..........3............12.............40..............149
....1.......3..........5............65............181.............3545
....4......12.........65...........567...........5746............85511
....5......40........181..........5746..........60550..........2921905
...14.....149.......3545.........85511........2921905........118162369
...17.....615......11421.......1409334.......43650470.......5996281816
...75....2659.....243955......23117220.....2748085305.....346754406852
...95...11641.....829319.....385330520....44499006072...21456580709691
..411...51672...17592855....6476514601..2935039880037.1373306350646075
..519..231598...61952605..108758391488.48422176002273
.2522.1044550.1284213397.1826675971872

Examples

			Some solutions for n=3 k=4
..0..0..0..1....0..0..0..0....0..0..0..0....0..1..1..1....0..0..0..0
..0..0..1..1....0..0..0..1....0..0..0..0....1..1..1..1....0..0..0..1
..0..0..1..1....0..0..0..0....0..0..0..0....1..1..1..0....0..0..2..1

Links

Crossrefs

Column 1 is A222372
Showing 1-4 of 4 results.

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