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A249284 Number of length n+3 0..2 arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth 1
66, 168, 428, 1094, 2792, 7132, 18232, 46616, 119176, 304696, 779066, 1992002, 5093330, 13023126, 33299000, 85142802, 217703012, 556648464, 1423304428, 3639273226, 9305324178, 23792953554, 60836640416, 155554327024, 397739724496 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A249290

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-2) +3*a(n-3) +7*a(n-4) +a(n-5) -6*a(n-6) -12*a(n-7) -14*a(n-8) -14*a(n-9) -7*a(n-10) +3*a(n-11) +2*a(n-12)

EXAMPLE

Some solutions for n=9

..1....0....2....2....1....1....0....1....1....1....0....1....1....2....2....1

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

..0....1....0....0....2....0....2....2....2....2....0....1....2....0....0....2

..1....0....0....0....2....1....0....2....2....0....2....2....1....0....0....2

..0....1....2....1....0....0....0....0....1....2....2....2....2....1....1....2

..2....0....2....0....0....0....0....1....2....1....0....0....2....0....1....0

..0....1....2....0....0....1....2....0....2....2....2....2....1....0....0....0

..2....1....0....1....1....1....0....1....2....1....0....2....0....1....0....2

..0....0....0....1....2....0....2....0....0....2....2....1....0....0....2....2

..2....0....2....1....2....1....1....0....0....1....1....2....0....2....1....2

..2....0....2....2....1....0....2....0....1....2....2....0....2....0....2....1

..2....2....1....2....2....0....2....1....2....0....1....0....2....0....2....0

CROSSREFS

Sequence in context: A043514 A044398 A044779 * A255102 A202647 A202640

Adjacent sequences:  A249281 A249282 A249283 * A249285 A249286 A249287

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 24 2014

STATUS

approved

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Last modified October 13 23:43 EDT 2019. Contains 327983 sequences. (Running on oeis4.)