A244183 - OEIS

%I #4 Jun 21 2014 21:29:56

%S 49,189,812,3832,19612,107863,633072,3942493,25918400,178997028,

%T 1292240106,9702655297,75375931728,602756594266,4937514449271,

%U 41249246950490,350098918064990,3008960352721543,26117176205443005

%N Number of length n+4 0..8 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..8 introduced in 0..8 order

%C Column 8 of A244185

%H R. H. Hardin, <a href="/A244183/b244183.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) -139*a(n-2) +a(n-3) +1784*a(n-4) +1931*a(n-5) -12600*a(n-6) -50646*a(n-7) -48753*a(n-8) +215387*a(n-9) +1038438*a(n-10) +2236793*a(n-11) +1983939*a(n-12) -4361986*a(n-13) -23908864*a(n-14) -62445686*a(n-15) -116557476*a(n-16) -164083468*a(n-17) -158681803*a(n-18) -35333656*a(n-19) +270032838*a(n-20) +791193237*a(n-21) +1504649448*a(n-22) +2319758240*a(n-23) +3094945131*a(n-24) +3677150092*a(n-25) +3949611368*a(n-26) +3868169748*a(n-27) +3471359234*a(n-28) +2861776683*a(n-29) +2168940385*a(n-30) +1510165759*a(n-31) +963934762*a(n-32) +562027256*a(n-33) +297750070*a(n-34) +142267724*a(n-35) +60680383*a(n-36) +22773619*a(n-37) +7366519*a(n-38) +1990304*a(n-39) +426740*a(n-40) +65808*a(n-41) +5760*a(n-42)

%e Some solutions for n=2

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

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

%e ..0....1....1....1....2....0....2....2....1....1....1....1....2....1....0....2

%e ..1....2....0....0....0....0....0....3....1....2....1....2....3....2....0....0

%e ..1....0....1....1....1....2....3....1....1....3....2....1....0....1....1....3

%e ..1....2....1....0....1....3....1....1....2....0....0....2....3....0....0....3

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 21 2014