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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

%I #4 Oct 29 2015 08:58:29

%S 5,0,0,33,16,33,0,0,0,0,261,528,2399,528,261,0,0,0,0,0,0,2241,14112,

%T 252097,320148,252097,14112,2241,0,0,0,0,0,0,0,0,19845,359200,

%U 29452071,151930944,394241389,151930944,29452071,359200,19845,0,0,0,0,0,0,0,0,0,0

%N 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.

%C Table starts

%C ....5.....0.......33.........0..........261.............0..............2241

%C ....0....16........0.......528............0.........14112.................0

%C ...33.....0.....2399.........0.......252097.............0..........29452071

%C ....0...528........0....320148............0.....151930944.................0

%C ..261.....0...252097.........0....394241389.............0......699094613961

%C ....0.14112........0.151930944............0.1207439092800.................0

%C .2241.....0.29452071.........0.699094613961.............0.19392931688071671

%H R. H. Hardin, <a href="/A263913/b263913.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

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

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

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

%F k=4: [order 12]

%F k=5: [order 16]

%F k=6: [order 18]

%F k=7: [order 22]

%Y Column 1 (nonzero terms) is A061253.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Oct 29 2015

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)