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A207427 Number of 3Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically 2

%I #5 Mar 31 2012 12:37:17

%S 6,36,114,361,1425,5625,20550,75076,282494,1062961,3953885,14707225,

%T 54963220,205406224,766145724,2857650849,10667504721,39821399809,

%U 148599935192,554524472896,2069606677336,7724225004001,28826640215153

%N Number of 3Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically

%C Row 3 of A207426

%H R. H. Hardin, <a href="/A207427/b207427.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -3*a(n-2) +16*a(n-3) +35*a(n-4) -53*a(n-5) +54*a(n-6) -183*a(n-7) -315*a(n-8) +430*a(n-9) -115*a(n-10) +307*a(n-11) +592*a(n-12) -693*a(n-13) +261*a(n-14) -288*a(n-15) -285*a(n-16) +315*a(n-17) -202*a(n-18) +153*a(n-19) -27*a(n-20) -2*a(n-21) +5*a(n-22) -5*a(n-23) +a(n-24)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 17 2012

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)