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A250329 Number of length n+5 0..1 arrays with every six consecutive terms having the maximum of some three terms equal to the minimum of the remaining three terms. 1
44, 68, 108, 172, 272, 424, 648, 996, 1544, 2404, 3746, 5830, 9048, 14024, 21746, 33754, 52426, 81432, 126454, 196308, 304706, 472986, 734300, 1140068, 1770064, 2748096, 4266370, 6623360, 10282584, 15963684, 24783794, 38477102, 59735816 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + a(n-3) + 2*a(n-6) - 2*a(n-9) - a(n-10) - a(n-12) + a(n-15).

Empirical g.f.: 2*x*(22 + 12*x + 20*x^2 + 10*x^3 + 16*x^4 + 22*x^5 - 18*x^6 - 30*x^7 - 46*x^8 - 22*x^9 - 9*x^10 - 12*x^11 + 7*x^12 + 11*x^13 + 16*x^14) / ((1 - x)*(1 + x + x^2)*(1 - x - x^4 - 2*x^6 - x^7 + x^12)). - Colin Barker, Nov 12 2018

EXAMPLE

Some solutions for n=6:

..1....0....0....0....0....1....0....1....1....1....1....1....1....0....1....1

..0....1....1....1....0....0....1....0....1....1....0....0....1....0....1....0

..1....1....1....1....1....1....1....1....0....1....1....0....1....0....0....0

..1....0....1....1....1....1....1....1....1....0....1....1....1....0....0....0

..1....0....0....0....0....1....1....1....1....0....1....1....1....0....0....1

..1....0....1....1....0....1....1....1....1....1....1....1....1....0....0....0

..1....0....1....1....0....0....0....1....0....1....0....1....0....1....1....0

..1....0....1....0....0....1....1....1....1....1....1....1....1....0....0....0

..1....0....1....1....1....0....0....0....0....1....1....0....1....1....0....0

..1....1....1....1....0....1....1....0....1....1....1....1....1....0....0....0

..0....0....1....0....0....1....1....1....1....1....0....0....0....0....0....1

CROSSREFS

Column 1 of A250336.

Sequence in context: A217218 A111494 A092025 * A242515 A156812 A171665

Adjacent sequences:  A250326 A250327 A250328 * A250330 A250331 A250332

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2014

STATUS

approved

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Last modified May 13 19:36 EDT 2021. Contains 343868 sequences. (Running on oeis4.)