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 1-3 of 3 results.

A196287 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.

Original entry on oeis.org

1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 17, 7, 17, 8, 12, 34, 50, 50, 34, 12, 17, 62, 111, 335, 111, 62, 17, 25, 123, 259, 882, 882, 259, 123, 25, 37, 243, 728, 2998, 3621, 2998, 728, 243, 37, 54, 471, 1800, 13533, 22971, 22971, 13533, 1800, 471, 54, 79, 924, 4696, 57281
Offset: 1

Views

Author

R. H. Hardin Sep 30 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 4's
Table starts
..1...3.....4......5........8........12..........17...........25.............37
..3...5.....8.....17.......34........62.........123..........243............471
..4...8.....7.....50......111.......259.........728.........1800...........4696
..5..17....50....335......882......2998.......13533........57281.........234589
..8..34...111....882.....3621.....22971......138924.......684002........3547662
.12..62...259...2998....22971....193137.....1306488.....10441374.......87352550
.17.123...728..13533...138924...1306488....13307143....182868341.....2172296568
.25.243..1800..57281...684002..10441374...182868341...3369153109....48734434499
.37.471..4696.234589..3547662..87352550..2172296568..48734434499..1022753961763
.54.924.12185.894628.21119073.710287441.23151489546.745373469270.25671148871894

Examples

			Some solutions for n=6 k=4
..1..3..1..0....1..1..0..1....0..0..1..1....0..0..1..1....0..1..3..1
..0..1..1..0....0..3..1..1....1..3..1..0....1..1..1..0....0..3..1..0
..1..1..3..1....0..1..1..0....3..1..3..1....3..1..1..1....0..1..1..0
..1..0..0..1....0..3..1..0....1..0..0..1....1..0..0..1....0..3..1..0
..1..1..1..1....1..1..1..0....1..1..3..1....1..1..3..1....0..1..1..0
..0..1..1..0....1..0..1..1....0..1..1..0....0..1..1..0....0..1..1..0

Links

Crossrefs

Column 1 is A179070(n+2)
Column 2 is A196140

A196337 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4.

Original entry on oeis.org

1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 17, 7, 17, 8, 12, 34, 50, 50, 34, 12, 17, 62, 111, 335, 111, 62, 17, 25, 123, 259, 894, 894, 259, 123, 25, 37, 243, 744, 3246, 3793, 3246, 744, 243, 37, 54, 471, 1840, 14973, 25295, 25295, 14973, 1840, 471, 54, 79, 924, 4761, 64423
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 2's
Table starts
..1...3.....4.......5........8.........12..........17............25
..3...5.....8......17.......34.........62.........123...........243
..4...8.....7......50......111........259.........744..........1840
..5..17....50.....335......894.......3246.......14973.........64423
..8..34...111.....894.....3793......25295......169152........868710
.12..62...259....3246....25295.....237905.....1783508......14742650
.17.123...744...14973...169152....1783508....20775275.....288083607
.25.243..1840...64423...868710...14742650...288083607....5845172493
.37.471..4761..270901..4661189..131257701..3804352736...96877056239
.54.924.12491.1067992.28620947.1161104389.45025949276.1661781001020

Examples

			Some solutions for n=6 k=4
..1..1..0..0....1..3..1..0....0..1..1..0....0..1..1..0....1..3..1..0
..0..3..1..1....0..1..3..1....0..1..1..0....1..3..1..0....0..1..3..0
..0..1..1..1....0..1..3..1....0..1..1..0....1..3..1..0....1..3..1..0
..1..3..0..0....0..3..1..0....0..1..3..0....0..1..3..0....1..3..1..0
..1..1..0..0....0..1..3..1....0..3..1..1....1..3..1..0....0..1..3..0
..0..1..1..1....1..1..0..1....1..1..0..1....1..0..1..1....0..1..1..0

Links

Crossrefs

Column 1 is A179070(n+2)
Column 2 is A196140

A196314 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,4,1,3 for x=0,1,2,3,4.

Original entry on oeis.org

1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 17, 7, 17, 8, 12, 34, 50, 50, 34, 12, 17, 62, 111, 335, 111, 62, 17, 25, 123, 259, 866, 866, 259, 123, 25, 37, 243, 728, 2942, 3349, 2942, 728, 243, 37, 54, 471, 1800, 13277, 21545, 21545, 13277, 1800, 471, 54, 79, 924, 4696, 56237
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 3's
Table starts
..1...3.....4......5........8........12..........17...........25.............37
..3...5.....8.....17.......34........62.........123..........243............471
..4...8.....7.....50......111.......259.........728.........1800...........4696
..5..17....50....335......866......2942.......13277........56237.........228881
..8..34...111....866.....3349.....21545......132202.......626170........3119098
.12..62...259...2942....21545....184217.....1194982......9309294.......76576666
.17.123...728..13277...132202...1194982....11575179....157085533.....1846682222
.25.243..1800..56237...626170...9309294...157085533...2915102103....39702002789
.37.471..4696.228881..3119098..76576666..1846682222..39702002789...766706823953
.54.924.12185.862148.18588893.617482227.18830197948.572455060274.18768948409278

Examples

			Some solutions for n=6 k=4
..1..0..0..1....1..0..0..1....1..1..0..1....1..1..0..1....0..1..3..1
..1..0..0..1....1..3..1..1....0..1..1..1....0..1..1..1....0..1..1..0
..1..0..0..1....0..1..1..0....1..3..1..0....0..1..1..0....0..1..3..0
..1..1..1..1....0..1..1..0....1..3..1..0....0..1..3..1....0..1..1..0
..0..3..1..0....0..1..1..0....0..1..3..0....0..1..3..1....0..1..3..0
..0..1..3..1....0..1..1..0....0..1..1..0....1..3..1..0....1..3..1..0

Links

Crossrefs

Column 1 is A179070(n+2)
Column 2 is A196140
Column 3 is A196282
Showing 1-3 of 3 results.

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