A243030 Number of length n+3 0..5 arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..5 introduced in 0..5 order

13, 43, 163, 693, 3223, 16060, 84207, 457676, 2549156, 14430921, 82566935, 475670431, 2752521185, 15973183106, 92863593361, 540515596648, 3148453277799, 18348289100476, 106961673453125, 623658710038884, 3636814272452146

Offset

1,1

Comments

Column 5 of A243033

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -34*a(n-2) +23*a(n-3) -25*a(n-4) +127*a(n-5) +11*a(n-6) +50*a(n-7) -155*a(n-8) -124*a(n-9) -158*a(n-10) -59*a(n-11) -30*a(n-12)

Example

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

Crossrefs

Sequence in context: A243894 A303740 A243029 * A243031 A243032 A269236

Adjacent sequences: A243027 A243028 A243029 * A243031 A243032 A243033

Keyword

nonn

Author

R. H. Hardin, May 29 2014

Status

approved