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A249190
Number of length n+6 0..1 arrays with no seven consecutive terms having four times the sum of any three elements equal to three times the sum of the remaining four.
3
126, 250, 496, 984, 1952, 3872, 7680, 15234, 30218, 59940, 118896, 235840, 467808, 927936, 1840638, 3651058, 7242176, 14365456, 28495072, 56522336, 112116736, 222392834, 441134610, 875027044, 1735688632, 3442882192, 6829242048
OFFSET
1,1
Column 1 of A249197.
FORMULA
Empirical: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6).
Empirical g.f.: 2*x*(63 + 62*x + 60*x^2 + 56*x^3 + 48*x^4 + 32*x^5) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6). - Colin Barker, Feb 24 2018
EXAMPLE
Some solutions for n=6:
..0....0....1....0....1....1....1....0....0....0....0....1....1....0....0....0
..1....1....0....1....1....1....1....0....0....1....1....0....1....1....1....0
..0....0....0....1....1....0....0....1....1....0....1....1....1....0....1....1
..1....0....0....1....0....1....1....0....0....1....1....1....1....0....1....1
..0....1....1....0....0....1....0....1....1....0....1....0....1....1....1....0
..0....1....0....0....1....1....1....0....0....0....0....1....1....0....1....1
..0....1....1....0....1....1....0....1....1....0....0....0....0....0....0....1
..1....1....0....1....0....1....1....1....0....0....0....1....1....0....1....1
..1....0....0....1....1....0....0....1....0....1....1....0....1....0....1....0
..0....0....0....1....0....0....1....0....0....1....1....1....1....0....0....1
..0....1....0....1....1....0....0....1....1....1....1....0....1....1....0....0
..1....0....1....1....1....1....0....1....0....0....0....0....0....0....0....1
CROSSREFS
Cf. A249197.
Sequence in context: A254370 A325932 A109024 * A356143 A254465 A063334
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 23 2014
STATUS
approved

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Last modified September 20 05:52 EDT 2024. Contains 376020 sequences. (Running on oeis4.)