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A279494 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
0, 1, 1, 0, 0, 0, 3, 5, 5, 3, 3, 18, 38, 18, 3, 9, 68, 254, 254, 68, 9, 15, 235, 1433, 2684, 1433, 235, 15, 31, 801, 8330, 26157, 26157, 8330, 801, 31, 57, 2678, 46095, 246237, 425588, 246237, 46095, 2678, 57, 108, 8777, 250440, 2241332, 6559816, 6559816 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,7
COMMENTS
Table starts
...0.....1.......0..........3............3..............9...............15
...1.....0.......5.........18...........68............235..............801
...0.....5......38........254.........1433...........8330............46095
...3....18.....254.......2684........26157.........246237..........2241332
...3....68....1433......26157.......425588........6559816.........98128162
...9...235....8330.....246237......6559816......166229033.......4065077852
..15...801...46095....2241332.....98128162.....4065077852.....162346342126
..31..2678..250440...19885341...1427793365....96674459373....6294925767121
..57..8777.1332366..172968364..20331614084..2247110811000..238434528280477
.108.28343.6989712.1481176019.284582186755.51300573165630.8863487201716422
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6)
k=2: [order 16]
k=3: [order 54] for n>55
EXAMPLE
Some solutions for n=4 k=4
..0..1..1..1. .0..1..1..0. .0..1..0..1. .0..1..1..1. .0..1..1..1
..0..1..0..1. .0..0..1..0. .1..1..0..1. .1..0..1..0. .1..0..0..1
..0..1..0..0. .0..0..1..0. .0..1..0..1. .1..0..1..1. .0..1..1..0
..0..1..0..1. .1..0..1..0. .1..1..1..0. .0..1..0..1. .0..0..1..1
CROSSREFS
Column 1 is A105423(n-2).
Sequence in context: A199614 A129488 A211023 * A053670 A085963 A282177
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 13 2016
STATUS
approved

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)