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A255104 Number of length n+5 0..2 arrays with at most one downstep in every 5 consecutive neighbor pairs. 1
294, 597, 1302, 2951, 6582, 14001, 29147, 61542, 133392, 292534, 634197, 1353282, 2874273, 6149472, 13283988, 28746325, 61881375, 132509427, 283590718, 609038592, 1311917331, 2825639015, 6072583563, 13028913003, 27962048781 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A255107.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +18*a(n-5) -29*a(n-6) +12*a(n-7) -6*a(n-10) +3*a(n-11).

Empirical g.f.: x*(294 - 285*x + 393*x^2 + 542*x^3 + 1038*x^4 - 3486*x^5 + 1719*x^6 - 129*x^7 - 318*x^8 - 684*x^9 + 441*x^10) / (1 - 3*x + 3*x^2 - x^3 - 18*x^5 + 29*x^6 - 12*x^7 + 6*x^10 - 3*x^11). - Colin Barker, Jan 24 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A255107.

Sequence in context: A145206 A153579 A132187 * A212724 A235948 A250752

Adjacent sequences:  A255101 A255102 A255103 * A255105 A255106 A255107

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 14 2015

STATUS

approved

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Last modified January 19 17:26 EST 2022. Contains 350466 sequences. (Running on oeis4.)