A242581 - OEIS

A242581

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

14, 46, 175, 744, 3453, 17178, 90033, 489821, 2734513, 15534111, 89271482, 516935609, 3008249095, 17562798942, 102750973652, 601965097333, 3529737223262, 20709247799845, 121548480504365, 713577294998844

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 5 of A242584

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) -106*a(n-2) +425*a(n-3) -1284*a(n-4) +3083*a(n-5) -5823*a(n-6) +9091*a(n-7) -11623*a(n-8) +11784*a(n-9) -9883*a(n-10) +6151*a(n-11) -2730*a(n-12) +900*a(n-13)

EXAMPLE

Some solutions for n=4

..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

..0....1....1....1....1....1....1....1....1....1....1....1....1....0....1....0

..1....1....2....2....2....0....0....2....0....2....1....0....1....1....1....1

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

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

..2....2....2....5....1....2....2....1....0....2....3....1....1....3....2....2

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

CROSSREFS

Sequence in context: A243386 A243387 A243388 * A242582 A242583 A335676

Adjacent sequences: A242578 A242579 A242580 * A242582 A242583 A242584

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 17 2014

STATUS

approved