A249954 Number of length n+5 0..2 arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms

285, 505, 897, 1593, 2825, 4999, 8823, 15918, 28655, 51435, 92029, 164152, 292075, 525208, 944616, 1696591, 3040493, 5435900, 9700772, 17406506, 31264015, 56133143, 100654671, 180181698, 322111059, 577430626, 1036149427, 1859477158

Offset

1,1

Comments

Column 2 of A249960

Links

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

Formula

Empirical: a(n) = 5*a(n-3) +35*a(n-6) +15*a(n-7) +7*a(n-8) -191*a(n-9) -55*a(n-10) -10*a(n-11) -320*a(n-12) -392*a(n-13) -267*a(n-14) +2249*a(n-15) +1501*a(n-16) +425*a(n-17) -100*a(n-18) +2587*a(n-19) +3278*a(n-20) -7702*a(n-21) -11903*a(n-22) -6372*a(n-23) +6826*a(n-24) +907*a(n-25) -11464*a(n-26) -2386*a(n-27) +21525*a(n-28) +29698*a(n-29) -5373*a(n-30) -18832*a(n-31) -190*a(n-32) +31781*a(n-33) +16493*a(n-34) -31701*a(n-35) -28272*a(n-36) +5149*a(n-37) +20799*a(n-38) -5346*a(n-39) -42580*a(n-40) -7944*a(n-41) +18110*a(n-42) +18818*a(n-43) -577*a(n-44) -16240*a(n-45) +10718*a(n-46) +11341*a(n-47) +859*a(n-48) -4043*a(n-49) -8206*a(n-50) +6702*a(n-51) +2625*a(n-52) -1382*a(n-53) -1089*a(n-54) -2604*a(n-55) +2425*a(n-56) +771*a(n-57) -738*a(n-58) +65*a(n-59) -1110*a(n-60) +616*a(n-61) -44*a(n-62) -220*a(n-63) -176*a(n-65) +264*a(n-66)

Example

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

Crossrefs

Sequence in context: A277771 A093228 A339681 * A043415 A288037 A105921

Adjacent sequences: A249951 A249952 A249953 * A249955 A249956 A249957

Keyword

nonn

Author

R. H. Hardin, Nov 09 2014

Status

approved