A244699 Number of length n+4 0..7 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..7 introduced in 0..7 order

50, 192, 823, 3877, 19807, 108745, 636642, 3946032, 25709683, 174808033, 1231576387, 8930829569, 66261447244, 500451094399, 3831652303294, 29641331551873, 231089791940516, 1812103169942265, 14271203280327465

Offset

1,1

Comments

Column 7 of A244702

Links

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

Formula

Empirical: a(n) = 23*a(n-1) -190*a(n-2) +624*a(n-3) -299*a(n-4) -1735*a(n-5) -321*a(n-6) +3257*a(n-7) +7830*a(n-8) +2362*a(n-9) -6411*a(n-10) -12773*a(n-11) -15698*a(n-12) -15096*a(n-13) -18309*a(n-14) -14657*a(n-15) -7203*a(n-16) +1319*a(n-17) +7754*a(n-18) +9212*a(n-19) +11865*a(n-20) +11915*a(n-21) +10867*a(n-22) +8583*a(n-23) +5912*a(n-24) +4520*a(n-25) +2834*a(n-26) +1796*a(n-27) +975*a(n-28) +505*a(n-29) +321*a(n-30) +117*a(n-31) +65*a(n-32) +21*a(n-33) +10*a(n-34) +6*a(n-35) -a(n-36) +a(n-37)

Example

Some solutions for n=3
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....1....1....1....0....1....0....1....0....1....1....0....1....1....1
..1....2....1....0....1....0....1....1....0....0....2....2....1....2....1....2
..2....0....1....2....2....1....0....0....2....0....2....3....1....2....2....1
..3....2....2....3....2....2....2....0....3....1....1....4....0....0....0....3
..0....2....2....0....1....2....1....2....1....1....0....2....1....2....3....3
..0....3....2....2....1....3....3....1....0....2....3....0....2....1....2....0

Crossrefs

Sequence in context: A244696 A244697 A244698 * A244700 A244701 A180293

Adjacent sequences: A244696 A244697 A244698 * A244700 A244701 A244702

Keyword

nonn

Author

R. H. Hardin, Jul 04 2014

Status

approved