A250008 Number of length n+5 0..2 arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms

300, 520, 912, 1612, 2864, 5102, 9090, 16272, 29158, 52262, 93688, 167964, 301168, 539974, 968642, 1737844, 3117714, 5593386, 10036076, 18005100, 32306350, 57972016, 104024782, 186662190, 334963334, 601062696, 1078577866, 1935527752

Offset

1,1

Comments

Column 2 of A250014

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +a(n-4) -a(n-5) +22*a(n-6) -13*a(n-7) -27*a(n-8) -3*a(n-9) -24*a(n-10) +18*a(n-11) -162*a(n-12) +30*a(n-13) +223*a(n-14) +24*a(n-15) +211*a(n-16) -102*a(n-17) +323*a(n-18) +231*a(n-19) -610*a(n-20) +29*a(n-21) -645*a(n-22) +195*a(n-23) +585*a(n-24) -1099*a(n-25) +329*a(n-26) -622*a(n-27) +20*a(n-28) +143*a(n-29) -1010*a(n-30) +864*a(n-31) -339*a(n-32) +678*a(n-33) +39*a(n-34) -2*a(n-35) -84*a(n-36) -358*a(n-37) +539*a(n-38) +106*a(n-39) +81*a(n-40) -113*a(n-41) +71*a(n-42) +190*a(n-43) -97*a(n-44) -83*a(n-45) -5*a(n-46) -46*a(n-47) +65*a(n-48) -28*a(n-49) +12*a(n-50) -18*a(n-51) -12*a(n-54) -8*a(n-55)

Example

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

Crossrefs

Sequence in context: A096511 A116346 A102509 * A332282 A190879 A154061

Adjacent sequences: A250005 A250006 A250007 * A250009 A250010 A250011

Keyword

nonn

Author

R. H. Hardin, Nov 10 2014

Status

approved