A250366 Number of length n+6 0..1 arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms

93, 151, 252, 424, 714, 1198, 1996, 3292, 5464, 9138, 15356, 25874, 43654, 73684, 124372, 210049, 355170, 601345, 1019254, 1728973, 2934563, 4983010, 8464698, 14384753, 24454971, 41590601, 70756107, 120406541, 204943704, 348902096

Offset

1,1

Comments

Column 1 of A250373

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) +6*a(n-7) -7*a(n-8) -2*a(n-9) -7*a(n-10) -5*a(n-11) -6*a(n-12) +a(n-13) -22*a(n-14) +6*a(n-15) +11*a(n-16) +20*a(n-17) +22*a(n-18) +33*a(n-19) +3*a(n-20) +47*a(n-21) +11*a(n-22) -15*a(n-23) -27*a(n-24) -38*a(n-25) -60*a(n-26) -11*a(n-27) -62*a(n-28) -28*a(n-29) +11*a(n-30) +21*a(n-31) +36*a(n-32) +55*a(n-33) +10*a(n-34) +51*a(n-35) +23*a(n-36) -11*a(n-37) -10*a(n-38) -21*a(n-39) -29*a(n-40) -4*a(n-41) -27*a(n-42) -8*a(n-43) +6*a(n-44) +2*a(n-45) +7*a(n-46) +8*a(n-47) +a(n-48) +8*a(n-49) +a(n-50) -a(n-51) -a(n-53) -a(n-54) -a(n-56)

Example

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

Crossrefs

Sequence in context: A048257 A255991 A213114 * A306540 A044425 A044806

Adjacent sequences: A250363 A250364 A250365 * A250367 A250368 A250369

Keyword

nonn

Author

R. H. Hardin, Nov 19 2014

Status

approved