A207600 - OEIS

%I #7 May 11 2023 14:26:07

%S 6,36,90,225,825,3025,9240,28224,93912,312481,997815,3186225,10377990,

%T 33802596,109041570,351750025,1140060185,3695059369,11948292720,

%U 38635833600,125075648880,404906960329,1310059883431,4238645087209

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

%C Row 3 of A207599.

%H R. H. Hardin, <a href="/A207600/b207600.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) -2*a(n-2) +11*a(n-3) +43*a(n-4) +34*a(n-5) +108*a(n-6) -216*a(n-8) -136*a(n-9) -344*a(n-10) -176*a(n-11) +64*a(n-12) -64*a(n-13) +128*a(n-14).

%e Some solutions for n=4

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

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

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

%Y Cf. A207599.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 19 2012