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A262237 Number of (n+3)X(2+3) 0..1 arrays with each row and column divisible by 11, read as a binary number with top and left being the most significant bits. 1

%I

%S 3,5,13,31,85,223,669,1733,4805,13777,40959,120497,360369,1076007,

%T 3222433,9644107,28932321,86626753,259625329,778451521,2335100115,

%U 7003688357,21010301629,63027427231,189078464965,567219534943

%N Number of (n+3)X(2+3) 0..1 arrays with each row and column divisible by 11, read as a binary number with top and left being the most significant bits.

%C Column 2 of A262240.

%H R. H. Hardin, <a href="/A262237/b262237.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) -a(n-4) +3*a(n-5) -a(n-6) +3*a(n-7) -a(n-8) +3*a(n-9) +706*a(n-10) -2118*a(n-11) +706*a(n-12) -2118*a(n-13) +706*a(n-14) -2118*a(n-15) +706*a(n-16) -2118*a(n-17) +706*a(n-18) -2118*a(n-19) -15709*a(n-20) +47127*a(n-21) -15709*a(n-22) +47127*a(n-23) -15709*a(n-24) +47127*a(n-25) -15709*a(n-26) +47127*a(n-27) -15709*a(n-28) +47127*a(n-29)

%e Some solutions for n=5

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

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

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

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

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

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

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

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

%Y Cf. A262240.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 15 2015

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Last modified January 29 06:03 EST 2023. Contains 359915 sequences. (Running on oeis4.)