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Number of n X (n+4) binary matrices with no initial bit string in any row or column divisible by 6.
0

%I #4 Jul 26 2022 15:11:05

%S 1,19,269,42883,5771475,5331905284,6251857873453,34559676018342904,

%T 328751379952928324341,11545551726979619784678193,

%U 845551048282095882508846950229

%N Number of n X (n+4) binary matrices with no initial bit string in any row or column divisible by 6.

%C Superdiagonal 4 of A181039.

%e Some solutions for 4 X 8

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

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

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

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

%Y Cf. A181039.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 30 2010