A244182 Number of length n+4 0..7 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..7 introduced in 0..7 order

49, 189, 812, 3832, 19611, 107818, 631917, 3920234, 25559691, 173884143, 1225577275, 8889979382, 65971409679, 498317038285, 3815480847788, 29515868843207, 230098500219893, 1804162547508522, 14206951882147476

Offset

1,1

Comments

Column 7 of A244185

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -57*a(n-2) -146*a(n-3) +471*a(n-4) +2030*a(n-5) +1606*a(n-6) -9926*a(n-7) -40696*a(n-8) -72180*a(n-9) -23242*a(n-10) +262788*a(n-11) +948320*a(n-12) +2028394*a(n-13) +3106669*a(n-14) +3270400*a(n-15) +1237472*a(n-16) -4174278*a(n-17) -13394281*a(n-18) -25599412*a(n-19) -38689072*a(n-20) -49852288*a(n-21) -56526936*a(n-22) -57307380*a(n-23) -52390492*a(n-24) -43372994*a(n-25) -32559403*a(n-26) -22139372*a(n-27) -13590504*a(n-28) -7488422*a(n-29) -3670971*a(n-30) -1580476*a(n-31) -586225*a(n-32) -181844*a(n-33) -44951*a(n-34) -8042*a(n-35) -840*a(n-36)

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....0....1....0....1....1....1....1....0....0....0....1....1....1
..1....2....2....0....2....1....1....0....2....2....0....0....1....2....1....2
..0....1....3....1....1....2....2....2....1....0....1....0....1....3....2....3
..1....1....0....2....1....0....0....0....2....0....1....1....1....1....1....0
..1....0....2....0....0....0....3....3....0....3....1....0....2....4....3....4
..0....3....1....1....1....0....1....1....1....3....2....2....3....3....1....2

Crossrefs

Sequence in context: A244179 A244180 A244181 * A244183 A244184 A251214

Adjacent sequences: A244179 A244180 A244181 * A244183 A244184 A244185

Keyword

nonn

Author

R. H. Hardin, Jun 21 2014

Status

approved