A250147 Number of length n+6 0..1 arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms

107, 193, 354, 654, 1212, 2248, 4166, 7702, 14270, 26488, 49213, 91473, 170039, 316066, 587450, 1091860, 2029557, 3772854, 7013851, 13039135, 24240444, 45064052, 83775863, 155743025, 289534518, 538261784, 1000662012, 1860293197

Offset

1,1

Comments

Column 1 of A250154

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-3) +a(n-4) -a(n-5) +2*a(n-6) +4*a(n-7) -6*a(n-8) -5*a(n-9) +2*a(n-10) -2*a(n-11) +3*a(n-12) -4*a(n-13) -13*a(n-14) +8*a(n-15) +12*a(n-16) -4*a(n-17) +6*a(n-18) -2*a(n-19) -a(n-20) +22*a(n-21) -7*a(n-22) -11*a(n-23) +4*a(n-24) -4*a(n-25) +4*a(n-27) -17*a(n-28) +4*a(n-29) +5*a(n-30) -a(n-31) +a(n-32) -2*a(n-34) +6*a(n-35) -a(n-36) -a(n-37) -a(n-42)

Example

Some solutions for n=6
..0....1....1....1....0....1....1....0....0....0....0....0....1....0....1....1
..0....0....0....1....0....0....0....0....0....1....0....1....0....0....0....0
..0....1....1....0....0....1....0....0....1....0....1....1....0....1....0....0
..0....0....0....0....1....1....1....0....0....0....0....1....1....0....0....1
..1....0....0....0....0....0....0....1....0....0....1....0....0....1....1....1
..1....0....1....0....0....0....0....0....0....0....0....0....0....1....0....1
..1....1....1....1....1....0....0....0....0....0....0....1....0....0....0....0
..0....1....0....0....0....0....0....0....1....1....0....0....0....0....0....1
..1....1....0....0....0....0....0....1....1....1....0....1....1....1....1....0
..0....0....0....0....0....0....0....0....0....0....1....0....1....0....0....0
..0....0....1....0....0....1....0....0....1....0....1....0....0....1....0....1
..0....1....1....1....1....0....1....1....1....0....0....1....1....0....1....1

Crossrefs

Sequence in context: A142142 A265915 A210361 * A142270 A044339 A044720

Adjacent sequences: A250144 A250145 A250146 * A250148 A250149 A250150

Keyword

nonn

Author

R. H. Hardin, Nov 13 2014

Status

approved