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.

A222986 T(n,k)=Number of nXk 0..2 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..2 order.

Original entry on oeis.org

1, 1, 2, 1, 4, 5, 4, 7, 14, 14, 5, 25, 43, 70, 41, 14, 86, 314, 584, 326, 122, 17, 332, 946, 4572, 2903, 1630, 365, 70, 1172, 10417, 42607, 68385, 45718, 8058, 1094, 89, 4566, 36987, 414907, 601407, 1037326, 227569, 40598, 3281, 326, 16562, 431995, 4405097
Offset: 1

Views

Author

R. H. Hardin Mar 11 2013

Keywords

Comments

Table starts
.....1........1...........1..............4.................5
.....2........4...........7.............25................86
.....5.......14..........43............314...............946
....14.......70.........584...........4572.............42607
....41......326........2903..........68385............601407
...122.....1630.......45718........1037326..........29158784
...365.....8058......227569.......15904038.........433151066
..1094....40598.....3706702......245900395.......21273422658
..3281...204914....18721501.....3827698634......321537852228
..9842..1041934...309335666....59908716776....15962124223493
.29525..5315674..1578160193...941887270541...243618393075038
.88574.27228710.26302908158.14864346253334.12191944518185381

Examples

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

Links

Crossrefs

Column 1 is A007051(n-1)
Row 1 is A222364

A222573 T(n,k)=Number of nXk 0..2 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..2 order.

Original entry on oeis.org

1, 1, 2, 1, 1, 5, 4, 5, 5, 14, 5, 10, 11, 18, 41, 14, 25, 56, 120, 59, 122, 17, 128, 134, 435, 500, 200, 365, 70, 292, 1500, 3516, 4790, 5210, 820, 1094, 89, 1318, 3999, 25441, 30766, 50535, 20889, 3014, 3281, 326, 3640, 46250, 212957, 543064, 881766, 547563
Offset: 1

Views

Author

R. H. Hardin Feb 25 2013

Keywords

Comments

Table starts
.....1......1.........1..........4...........5...........14...........17
.....2......1.........5.........10..........25..........128..........292
.....5......5........11.........56.........134.........1500.........3999
....14.....18.......120........435........3516........25441.......212957
....41.....59.......500.......4790.......30766.......543064......4102865
...122....200......5210......50535......881766.....14120189....278335019
...365....820.....20889.....547563.....9004283....406233879...7240361264
..1094...3014....229894....5815939...287554360..12231597130.617491399888
..3281..11364....913405...63130202..2996904309.379056994144
..9842..42748..10427244..676152734.97314847813
.29525.164652..40896923.7328771224
.88574.627034.479942958

Examples

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

Links

Crossrefs

Column 1 is A007051(n-1)
Row 1 is A222364

A222649 T(n,k)=Number of nXk 0..2 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..2 order.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 12, 5, 12, 5, 14, 38, 61, 61, 38, 14, 17, 124, 157, 457, 157, 124, 17, 70, 430, 1972, 3411, 3411, 1972, 430, 70, 89, 1530, 5625, 31487, 25724, 31487, 5625, 1530, 89, 326, 5378, 66494, 317655, 640355, 640355, 317655, 66494, 5378, 326
Offset: 1

Views

Author

R. H. Hardin Feb 27 2013

Keywords

Comments

Table starts
....1......1........1...........4..............5..............14
....1......1........3..........12.............38.............124
....1......3........5..........61............157............1972
....4.....12.......61.........457...........3411...........31487
....5.....38......157........3411..........25724..........640355
...14....124.....1972.......31487.........640355........14332759
...17....430.....5625......317655........5969486.......368332772
...70...1530....66494.....3161392......171452513.....10043940772
...89...5378...199913....31436637.....1679184332....284244110551
..326..18938..2287282...315944445....49651101137...8226667384808
..413..67042..7139249..3182997999...492598252164.241133356688912
.1630.238446.79717242.32059374557.14686568899907

Examples

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

Links

Crossrefs

Column 1 is A222364

A222587 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 4, 5, 5, 4, 5, 18, 9, 18, 5, 14, 59, 112, 112, 59, 14, 17, 200, 426, 1087, 426, 200, 17, 70, 820, 4790, 11442, 11442, 4790, 820, 70, 89, 3014, 18007, 128213, 111951, 128213, 18007, 3014, 89, 326, 11364, 208768, 1471412, 3778560, 3778560, 1471412
Offset: 1

Views

Author

R. H. Hardin Feb 25 2013

Keywords

Comments

Table starts
....1......1.........1...........4............5............14.............17
....1......1.........5..........18...........59...........200............820
....1......5.........9.........112..........426..........4790..........18007
....4.....18.......112........1087........11442........128213........1471412
....5.....59.......426.......11442.......111951.......3778560.......41768676
...14....200......4790......128213......3778560.....120603073.....4091063379
...17....820.....18007.....1471412.....41768676....4091063379...133111379646
...70...3014....208768....17068476...1506610325..143156705294.14368353140562
...89..11364....783389...198654710..17357088679.5118550268413
..326..42748...9222742..2328829654.636943229353
..413.164652..34725955.27335961632
.1630.627034.412489970

Examples

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

Links

Crossrefs

Column 1 is A222364
Column 2 is A222567
Showing 1-4 of 4 results.

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

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