A244183 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

49, 189, 812, 3832, 19612, 107863, 633072, 3942493, 25918400, 178997028, 1292240106, 9702655297, 75375931728, 602756594266, 4937514449271, 41249246950490, 350098918064990, 3008960352721543, 26117176205443005

Offset

1,1

Comments

Column 8 of A244185

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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)

Example

Some solutions for n=2
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....1....1....1....1....1....1....1....0....0....1....1....0....0....1
..0....1....1....1....2....0....2....2....1....1....1....1....2....1....0....2
..1....2....0....0....0....0....0....3....1....2....1....2....3....2....0....0
..1....0....1....1....1....2....3....1....1....3....2....1....0....1....1....3
..1....2....1....0....1....3....1....1....2....0....0....2....3....0....0....3

Crossrefs

Sequence in context: A244180 A244181 A244182 * A244184 A251214 A158638

Adjacent sequences: A244180 A244181 A244182 * A244184 A244185 A244186

Keyword

nonn

Author

R. H. Hardin, Jun 21 2014

Status

approved