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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. 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 28 23:48 EST 2021. Contains 349415 sequences. (Running on oeis4.)