A207266 - OEIS

%I #5 Mar 31 2012 12:37:16

%S 13,169,499,1602,5904,18055,52240,156473,460171,1324209,3824481,

%T 11017816,31464850,89582619,254431356,719347025,2026808124,5696170867,

%U 15961932156,44610315375,124409802922,346245984652,961805475293,2667346798257

%N Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically

%C Column 5 of A207269

%H R. H. Hardin, <a href="/A207266/b207266.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -27*a(n-2) +82*a(n-3) -276*a(n-4) +660*a(n-5) -1362*a(n-6) +3271*a(n-7) -6143*a(n-8) +9753*a(n-9) -19244*a(n-10) +29834*a(n-11) -37603*a(n-12) +66818*a(n-13) -88111*a(n-14) +87735*a(n-15) -154593*a(n-16) +176242*a(n-17) -132824*a(n-18) +260799*a(n-19) -257210*a(n-20) +131101*a(n-21) -335989*a(n-22) +283983*a(n-23) -71632*a(n-24) +332714*a(n-25) -241037*a(n-26) -2610*a(n-27) -250116*a(n-28) +160089*a(n-29) +38528*a(n-30) +138104*a(n-31) -83144*a(n-32) -32003*a(n-33) -51828*a(n-34) +31992*a(n-35) +13212*a(n-36) +11628*a(n-37) -8424*a(n-38) -2376*a(n-39) -1296*a(n-40) +1296*a(n-41) for n>44

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012