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A207029 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically 1

%I

%S 12,144,396,1719,6123,16038,49925,129302,329498,836938,1984447,

%T 4716834,10888212,24623818,55173270,121321500,264139722,568757951,

%U 1211623656,2560468834,5364327387,11156813446,23048288350,47308658140,96551671749

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

%C Row 6 of A207024

%H R. H. Hardin, <a href="/A207029/b207029.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -5*a(n-2) -25*a(n-3) +5*a(n-4) +146*a(n-5) -21*a(n-6) -400*a(n-7) -230*a(n-8) +955*a(n-9) +807*a(n-10) -997*a(n-11) -2055*a(n-12) +345*a(n-13) +2000*a(n-14) +1561*a(n-15) -601*a(n-16) -1120*a(n-17) -2255*a(n-18) -690*a(n-19) +1257*a(n-20) +3043*a(n-21) +570*a(n-22) -650*a(n-23) -1885*a(n-24) -921*a(n-25) -654*a(n-26) +1200*a(n-27) +910*a(n-28) +655*a(n-29) -421*a(n-30) -229*a(n-31) -520*a(n-32) -45*a(n-33) +25*a(n-34) +240*a(n-35) +25*a(n-36) +50*a(n-37) -45*a(n-38) -15*a(n-39) -30*a(n-40) +10*a(n-41) +5*a(n-43) +a(n-45) -a(n-46)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2012

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Last modified May 23 18:08 EDT 2022. Contains 353993 sequences. (Running on oeis4.)