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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
1
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
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 A375384
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 10 2014
STATUS
approved