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A262334 Number of (n+3)X(2+3) 0..1 arrays with each row and column divisible by 9, read as a binary number with top and left being the most significant bits. 1

%I #4 Sep 18 2015 07:56:41

%S 4,16,64,225,841,3249,12996,51984,207936,829921,3316041,13256881,

%T 53027524,212110096,848440384,3393645025,13574347081,54296922289,

%U 217187689156,868750756624,3475003026496,13900004649441,55600003684681

%N Number of (n+3)X(2+3) 0..1 arrays with each row and column divisible by 9, read as a binary number with top and left being the most significant bits.

%C Column 2 of A262338.

%H R. H. Hardin, <a href="/A262334/b262334.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-2) -8*a(n-3) +48*a(n-4) -64*a(n-5) +a(n-6) -6*a(n-7) +8*a(n-8) +8*a(n-9) -48*a(n-10) +64*a(n-11)

%e Some solutions for n=4

%e ..1..0..0..1..0....0..1..0..0..1....0..0..0..0..0....0..0..0..0..0

%e ..0..0..0..0..0....0..1..0..0..1....0..1..0..0..1....1..1..0..1..1

%e ..1..0..0..1..0....1..1..0..1..1....0..1..0..0..1....1..1..0..1..1

%e ..0..0..0..0..0....1..0..0..1..0....0..1..0..0..1....0..0..0..0..0

%e ..0..0..0..0..0....0..1..0..0..1....0..1..0..0..1....1..1..0..1..1

%e ..0..0..0..0..0....1..0..0..1..0....0..1..0..0..1....1..1..0..1..1

%e ..1..0..0..1..0....1..1..0..1..1....0..1..0..0..1....0..0..0..0..0

%Y Cf. A262338.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 18 2015

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Last modified April 25 13:12 EDT 2024. Contains 371969 sequences. (Running on oeis4.)