A249703 Number of length n+3 0..4 arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms

205, 485, 1153, 2601, 5425, 11925, 27113, 61725, 137593, 307437, 694273, 1576625, 3567829, 8061981, 18257849, 41462221, 94184277, 213859241, 485808309, 1104769313, 2514006025, 5722098441, 13027345657, 29673996009, 67626829493

Offset

1,1

Comments

Column 4 of A249707

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +25*a(n-4) -39*a(n-5) -30*a(n-6) +40*a(n-7) -176*a(n-8) +78*a(n-9) +365*a(n-10) +57*a(n-11) +515*a(n-12) +361*a(n-13) -923*a(n-14) -1037*a(n-15) -1152*a(n-16) -1164*a(n-17) +750*a(n-18) +1980*a(n-19) +1872*a(n-20) +1440*a(n-21) -432*a(n-22) -1728*a(n-23) -864*a(n-24)

Example

Some.solutions.for.n=6
..3....2....4....1....1....3....4....2....4....3....2....0....1....3....0....0
..2....2....1....2....1....2....0....2....3....3....2....1....0....1....2....1
..3....2....4....2....3....2....1....2....0....2....2....4....1....1....3....1
..3....1....4....2....1....2....1....3....3....3....0....1....1....1....2....2
..3....4....4....4....0....4....1....2....3....3....2....1....4....0....0....1
..3....2....4....2....1....2....4....2....3....3....3....1....0....1....2....0
..4....2....4....0....1....2....1....0....3....3....2....1....1....1....2....1
..1....0....1....2....4....2....1....2....2....4....0....0....1....3....2....3
..3....2....4....4....0....4....0....4....3....2....2....1....4....0....0....1

Crossrefs

Sequence in context: A186475 A020170 A260471 * A015974 A203870 A203863

Adjacent sequences: A249700 A249701 A249702 * A249704 A249705 A249706

Keyword

nonn

Author

R. H. Hardin, Nov 04 2014

Status

approved