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A262331 Number of (n+1)X(7+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits.

%I A262331 #4 Sep 18 2015 07:36:32
%S A262331 86,783,65610,2767631,237172426,16940254423,1456404454010,
%T A262331 119519290640511,10278397804194666,873639089311509863,
%U A262331 75132812815390491610,6442513290262072850191,554056059394660086575306
%N A262331 Number of (n+1)X(7+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits.
%C A262331 Column 7 of A262332.
%H A262331 R. H. Hardin, <a href="/A262331/b262331.txt">Table of n, a(n) for n = 1..210</a>
%F A262331 Empirical: a(n) = 86*a(n-1) +3252*a(n-2) -279672*a(n-3) -3329646*a(n-4) +286349556*a(n-5) +1544583660*a(n-6) -132834194760*a(n-7) -365579378025*a(n-8) +31439826510150*a(n-9) +46337467429704*a(n-10) -3985022198954544*a(n-11) -3102790005466128*a(n-12) +266839940470087008*a(n-13) +99548995158787584*a(n-14) -8561213583655732224*a(n-15) -1170690303846912000*a(n-16) +100679366130834432000*a(n-17) +3277061542543360000*a(n-18) -281827292658728960000*a(n-19)
%e A262331 Some solutions for n=3
%e A262331 ..0..0..1..0..1..1..0..1....1..0..0..1..1..1..0..0....1..0..1..0..0..1..0..1
%e A262331 ..0..0..1..0..1..1..0..1....0..1..0..1..1..1..0..1....1..0..1..0..0..1..0..1
%e A262331 ..1..0..0..0..0..1..1..1....0..1..0..1..0..0..0..1....0..1..1..0..1..1..0..0
%e A262331 ..1..0..0..0..0..1..1..1....1..0..0..1..0..0..0..0....0..1..1..0..1..1..0..0
%Y A262331 Cf. A262332.
%K A262331 nonn
%O A262331 1,1
%A A262331 _R. H. Hardin_, Sep 18 2015