A204359 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 23912,48226,92286,167480,412860,1006754,2225410,4825526,10942334,

%T 25492388,58439276,131852146,298721620,682683776,1559009232,

%U 3545167022,8060117790,18362399186,41845749138,95271124676,216853176236

%N Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order

%C Column 6 of A204361

%H R. H. Hardin, <a href="/A204359/b204359.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -4*a(n-2) +5*a(n-3) +9*a(n-4) -31*a(n-5) +49*a(n-6) -59*a(n-7) +15*a(n-8) +54*a(n-9) -102*a(n-10) +110*a(n-11) -52*a(n-12) -25*a(n-13) +74*a(n-14) -77*a(n-15) +38*a(n-16) +2*a(n-17) -18*a(n-18) +17*a(n-19) -8*a(n-20) +a(n-21) for n>31

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012