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A207028 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically 1

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

%S 10,100,270,1035,3315,8280,23400,56814,136114,322834,725005,1627260,

%T 3560880,7664285,16349062,34340640,71524992,147574233,301825437,

%U 613141606,1236720905,2479598284,4944012260,9806225404,19359765906

%N Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

%C Row 5 of A207024

%H R. H. Hardin, <a href="/A207028/b207028.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -2*a(n-2) -18*a(n-3) -9*a(n-4) +85*a(n-5) +30*a(n-6) -158*a(n-7) -196*a(n-8) +244*a(n-9) +340*a(n-10) -8*a(n-11) -441*a(n-12) -159*a(n-13) -32*a(n-14) +240*a(n-15) +249*a(n-16) +307*a(n-17) -270*a(n-18) -286*a(n-19) -225*a(n-20) +125*a(n-21) +54*a(n-22) +218*a(n-23) +37*a(n-24) -9*a(n-25) -126*a(n-26) -10*a(n-27) -30*a(n-28) +26*a(n-29) +10*a(n-30) +22*a(n-31) -8*a(n-32) -4*a(n-34) -a(n-36) +a(n-37)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2012

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Last modified March 28 08:12 EDT 2024. Contains 371236 sequences. (Running on oeis4.)