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.

A224158 T(n,k)=Number of nXk 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

2, 4, 4, 7, 12, 8, 11, 28, 36, 16, 16, 56, 89, 108, 32, 22, 101, 187, 281, 324, 64, 29, 169, 373, 574, 900, 972, 128, 37, 267, 702, 1156, 1783, 2935, 2916, 256, 46, 403, 1252, 2271, 3469, 5657, 9681, 8748, 512, 56, 586, 2130, 4339, 6786, 10562, 18408, 32020, 26244
Offset: 1

Views

Author

R. H. Hardin Mar 31 2013

Keywords

Comments

Table starts
....2.....4......7.....11......16......22......29......37.......46.......56
....4....12.....28.....56.....101.....169.....267.....403......586......826
....8....36.....89....187.....373.....702....1252....2130.....3479.....5486
...16...108....281....574....1156....2271....4339....8008....14257....24519
...32...324....900...1783....3469....6786...13283...25624....48339....88755
...64...972...2935...5657...10562...20065...39037...76393...148637...284937
..128..2916...9681..18408...32910...60214..114537..222841...437497...857104
..256..8748..32020..61140..105020..184233..340134..650819..1271950..2506424
..512.26244.105937.205390..342575..575410.1025559.1918648..3705824..7278086
.1024.78732.350311.694018.1136503.1833641.3143071.5721195.10873402.21181267

Examples

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

Links

Crossrefs

Column 1 is A000079
Column 2 is A003946
Row 1 is A000124
Row 2 is A223764

Formula

Empirical: columns k=1..7 have recurrences of order 1,1,9,13,20,24,33 for n>0,0,0,14,22,27,37
Empirical: rows n=1..7 are polynomials of degree 2*n for k>0,0,2,4,6,8,10

A224409 T(n,k)=Number of nXk 0..1 arrays with rows unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

2, 4, 4, 7, 12, 8, 11, 28, 36, 16, 16, 56, 100, 108, 32, 22, 101, 228, 358, 324, 64, 29, 169, 465, 884, 1288, 972, 128, 37, 267, 879, 1928, 3436, 4636, 2916, 256, 46, 403, 1568, 3902, 7812, 13440, 16684, 8748, 512, 56, 586, 2668, 7490, 16420, 31710, 52700, 60040
Offset: 1

Views

Author

R. H. Hardin Apr 05 2013

Keywords

Comments

Table starts
....2.....4......7......11......16.......22.......29.......37........46
....4....12.....28......56.....101......169......267......403.......586
....8....36....100.....228.....465......879.....1568.....2668......4362
...16...108....358.....884....1928.....3902.....7490....13784.....24467
...32...324...1288....3436....7812....16420....32814....63202....118117
...64...972...4636...13440...31710....68282...139638...275766....530583
..128..2916..16684...52700..129402...284254...590254..1183226...2313915
..256..8748..60040..206708..529846..1187830..2496332..5055858...9988498
..512.26244.216064..810664.2172346..4979464.10583872.21606456..42996954
.1024.78732.777544.3178940.8908986.20913026.44986080.92478100.185065944

Examples

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

Links

Crossrefs

Column 1 is A000079
Column 2 is A003946
Row 1 is A000124
Row 2 is A223764

Formula

Empirical: columns k=1..7 have recurrences of order 1,1,3,4,5,6,7 for n>0,0,0,0,0,7,8
Empirical: rows n=1..7 are polynomials of degree 2*n for k>0,0,0,2,3,4,5

A223777 T(n,k)=Number of nXk 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

2, 4, 4, 7, 12, 7, 11, 28, 28, 11, 16, 56, 78, 56, 16, 22, 101, 180, 180, 101, 22, 29, 169, 371, 461, 371, 169, 29, 37, 267, 707, 1040, 1040, 707, 267, 37, 46, 403, 1269, 2164, 2516, 2164, 1269, 403, 46, 56, 586, 2170, 4246, 5573, 5573, 4246, 2170, 586, 56, 67
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Table starts
..2...4....7....11....16.....22.....29......37......46......56.......67
..4..12...28....56...101....169....267.....403.....586.....826.....1134
..7..28...78...180...371....707...1269....2170....3563....5650.....8692
.11..56..180...461..1040...2164...4246....7950...14308...24877....41945
.16.101..371..1040..2516...5573..11635...23230...44703...83305...150815
.22.169..707..2164..5573..12975..28346...59231..119555..234348...447489
.29.267.1269..4246.11635..28346..64256..138913..290180..589799..1170809
.37.403.2170..7950.23230..59231.138913..308895..662370.1382382..2822162
.46.586.3563.14308.44703.119555.290180..662370.1451996.3093428..6448124
.56.826.5650.24877.83305.234348.589799.1382382.3093428.6707709.14215457

Examples

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

Links

Crossrefs

Column 1 is A000124
Column 2 is A223764

Formula

Empirical: columns k=1..7 are polynomials of degree 2*k for n> 0,0,0,1,2,3,4
Showing 1-3 of 3 results.

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