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A255998 Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs. 1
256, 512, 667, 796, 945, 1134, 1352, 1584, 1831, 2094, 2374, 2672, 2989, 3326, 3684, 4064, 4467, 4894, 5346, 5824, 6329, 6862, 7424, 8016, 8639, 9294, 9982, 10704, 11461, 12254, 13084, 13952, 14859, 15806, 16794, 17824, 18897, 20014, 21176, 22384, 23639 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 7 of A255992.

LINKS

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

FORMULA

Empirical: a(n) = (1/6)*n^3 + (7/2)*n^2 + (454/3)*n + 64 for n>5.

Empirical g.f.: x*(256 - 512*x + 155*x^2 + 176*x^3 - 29*x^4 - 26*x^5 - 31*x^6 - 4*x^7 + 16*x^8) / (1 - x)^4. - Colin Barker, Jan 26 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A255992.

Sequence in context: A206206 A206199 A271811 * A309092 A043336 A256822

Adjacent sequences:  A255995 A255996 A255997 * A255999 A256000 A256001

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 13 2015

STATUS

approved

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Last modified October 27 07:47 EDT 2021. Contains 348272 sequences. (Running on oeis4.)