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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. 1

%I #4 Sep 18 2015 07:36:32

%S 86,783,65610,2767631,237172426,16940254423,1456404454010,

%T 119519290640511,10278397804194666,873639089311509863,

%U 75132812815390491610,6442513290262072850191,554056059394660086575306

%N 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 Column 7 of A262332.

%H R. H. Hardin, <a href="/A262331/b262331.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=3

%e ..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 ..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 ..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 ..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 Cf. A262332.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 18 2015

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Last modified July 8 08:39 EDT 2024. Contains 374148 sequences. (Running on oeis4.)