A242546 Number of length n+3 0..5 arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..5 introduced in 0..5 order.

13, 43, 166, 711, 3311, 16512, 86671, 471698, 2631790, 14930915, 85644696, 494803149, 2872024482, 16720674459, 97536295951, 569673328615, 3329960486206, 19475149500576, 113938441220822, 666738150322630, 3902133809773705

Offset

1,1

Comments

Column 5 of A242549

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -41*a(n-2) +100*a(n-3) -259*a(n-4) +283*a(n-5) -178*a(n-6) +383*a(n-7) +1393*a(n-8) +312*a(n-9) +723*a(n-10) -1707*a(n-11) -5129*a(n-12) -5430*a(n-13) -5400*a(n-14) -3600*a(n-15) -900*a(n-16)

Example

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

Crossrefs

Sequence in context: A243032 A269236 A242545 * A242547 A242548 A104115

Adjacent sequences: A242543 A242544 A242545 * A242547 A242548 A242549

Keyword

nonn

Author

R. H. Hardin, May 17 2014

Status

approved