A207030 - OEIS

A207030

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

%I #5 Mar 31 2012 12:37:14

%S 14,196,546,2646,10374,28224,95900,263228,707756,1914436,4765030,

%T 11929281,28919940,68405886,160363388,367794936,834116976,1868512272,

%U 4133596062,9061947202,19668851743,42331019322,90400217730,191610354448

%N Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

%C Row 7 of A207024

%H R. H. Hardin, <a href="/A207030/b207030.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -9*a(n-2) -31*a(n-3) +31*a(n-4) +213*a(n-5) -162*a(n-6) -750*a(n-7) +51*a(n-8) +2425*a(n-9) +794*a(n-10) -4554*a(n-11) -4713*a(n-12) +5817*a(n-13) +9762*a(n-14) -282*a(n-15) -12462*a(n-16) -7428*a(n-17) +1841*a(n-18) +10627*a(n-19) +10332*a(n-20) +5076*a(n-21) -13128*a(n-22) -16008*a(n-23) -6153*a(n-24) +11991*a(n-25) +11817*a(n-26) +9499*a(n-27) -3106*a(n-28) -8556*a(n-29) -11907*a(n-30) -573*a(n-31) +3822*a(n-32) +7314*a(n-33) +2562*a(n-34) +1026*a(n-35) -3630*a(n-36) -2274*a(n-37) -1530*a(n-38) +1026*a(n-39) +594*a(n-40) +1050*a(n-41) +50*a(n-42) -50*a(n-43) -405*a(n-44) -49*a(n-45) -77*a(n-46) +69*a(n-47) +21*a(n-48) +39*a(n-49) -12*a(n-50) -6*a(n-52) -a(n-54) +a(n-55)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2012