A263913 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column modulo 3 equal to 1, read as a binary number with top and left being the most significant bits.

5, 0, 0, 33, 16, 33, 0, 0, 0, 0, 261, 528, 2399, 528, 261, 0, 0, 0, 0, 0, 0, 2241, 14112, 252097, 320148, 252097, 14112, 2241, 0, 0, 0, 0, 0, 0, 0, 0, 19845, 359200, 29452071, 151930944, 394241389, 151930944, 29452071, 359200, 19845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

1,1

Comments

Table starts

....5.....0.......33.........0..........261.............0..............2241

....0....16........0.......528............0.........14112.................0

...33.....0.....2399.........0.......252097.............0..........29452071

....0...528........0....320148............0.....151930944.................0

..261.....0...252097.........0....394241389.............0......699094613961

....0.14112........0.151930944............0.1207439092800.................0

.2241.....0.29452071.........0.699094613961.............0.19392931688071671

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 12*a(n-2) -27*a(n-4)

k=2: a(n) = 33*a(n-2) -207*a(n-4) +175*a(n-6)

k=3: a(n) = 169*a(n-2) -6387*a(n-4) +71671*a(n-6) -195052*a(n-8)

k=4: [order 12]

k=5: [order 16]

k=6: [order 18]

k=7: [order 22]

Crossrefs

Column 1 (nonzero terms) is A061253.

Sequence in context: A340481 A236232 A019178 * A075534 A221361 A083527

Adjacent sequences: A263910 A263911 A263912 * A263914 A263915 A263916

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 29 2015

Status

approved