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A265601 T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal, vertical and antidiagonal neighbors by a power of two. 8
1, 1, 1, 1, 2, 1, 2, 4, 4, 2, 16, 8, 0, 8, 16, 79, 166, 177, 177, 166, 79, 456, 257, 2228, 2908, 2228, 257, 456, 2194, 1627, 0, 35824, 35824, 0, 1627, 2194, 20801, 19283, 534268, 572832, 11746590, 572832, 534268, 19283, 20801, 142675, 90682, 1808623, 19333806 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

......1......1.........1............2.............16................79

......1......2.........4............8............166...............257

......1......4.........0..........177...........2228.................0

......2......8.......177.........2908..........35824............572832

.....16....166......2228........35824.......11746590..........19502116

.....79....257.........0.......572832.......19502116.................0

....456...1627....534268.....19333806.....7124418191......108447811968

...2194..19283...1808623....160881658....64498108909.....4758708947913

..20801..90682.........0...5664401710.19456105428825.................0

.142675.542663.221771015.229732307880.61995422081770.20923382039141133

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

EXAMPLE

Some solutions for n=4 k=4

..0..4..8..9....0..4..2..3....0..4..8.12....0..8.10..6....0..2..1..9

..2..6..7..5....8..6..4..5....8..6.10.14....4.12..8.10....1..3..5.13

..4..8..9..7....4..5..3..7...10.14.12.13....8.10..9.11....5..1..9.11

.12.10.11.15....6..7.11.15...12.10.11.15...12.11.13.15....9..5.13.15

CROSSREFS

Column 1 is A265173.

Sequence in context: A257651 A275122 A264569 * A349816 A105970 A133950

Adjacent sequences:  A265598 A265599 A265600 * A265602 A265603 A265604

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 10 2015

STATUS

approved

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Last modified January 24 00:05 EST 2022. Contains 350515 sequences. (Running on oeis4.)