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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.

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A197431 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 4,0,1,1,1 for x=0,1,2,3,4.

Original entry on oeis.org

1, 3, 3, 4, 9, 4, 5, 20, 20, 5, 9, 71, 68, 71, 9, 16, 227, 448, 448, 227, 16, 25, 664, 2152, 5197, 2152, 664, 25, 39, 2107, 10684, 43909, 43909, 10684, 2107, 39, 64, 6675, 55567, 410456, 720447, 410456, 55567, 6675, 64, 105, 20696, 280544, 4017895, 11769456
Offset: 1

Views

Author

R. H. Hardin Oct 14 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 1's, every 3 is next to 3 1's, every 4 is next to 4 1's
Table starts
...1.....3.......4..........5............9..............16................25
...3.....9......20.........71..........227.............664..............2107
...4....20......68........448.........2152...........10684.............55567
...5....71.....448.......5197........43909..........410456...........4017895
...9...227....2152......43909.......720447........11769456.........195632425
..16...664...10684.....410456.....11769456.......337295264........9869104795
..25..2107...55567....4017895....195632425......9869104795......529968166606
..39..6675..280544...37566429...3187783369....292706228390....27927270266251
..64.20696.1425111..351740354..53026008675...8642552356445..1461399711177586
.105.65029.7280350.3301443327.881220874951.253114165333694.76357681634837889

Examples

			Some solutions containing all values 0 to 4 for n=6 k=4
..1..2..1..0....1..1..0..1....0..0..0..1....1..0..0..1....0..1..1..0
..0..2..1..0....0..2..0..1....0..2..1..3....3..1..1..1....2..1..4..1
..0..1..3..0....0..1..3..1....0..1..4..1....1..4..1..0....1..0..1..1
..1..4..1..1....1..4..1..0....0..3..1..0....0..1..4..1....2..1..3..0
..1..1..0..1....1..1..3..0....2..1..2..0....2..1..1..2....0..1..1..2
..0..2..1..2....0..0..1..1....1..0..0..0....1..0..0..0....1..2..0..1

Links

Crossrefs

Column 1 is A195971
Column 2 is A197403
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