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A258735 Number of length n+5 0..3 arrays with at most one downstep in every n consecutive neighbor pairs. 1
4096, 11704, 20955, 35540, 59188, 92548, 138196, 199264, 279560, 383704, 517281, 687012, 900944, 1168660, 1501510, 1912864, 2418388, 3036344, 3787915, 4697556, 5793372, 7107524, 8676664, 10542400, 12751792, 15357880, 18420245, 22005604 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A258730.

LINKS

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

FORMULA

Empirical: a(n) = (1/5040)*n^7 + (1/80)*n^6 + (241/720)*n^5 + (229/48)*n^4 + (15569/90)*n^3 + (58693/60)*n^2 + (175526/105)*n + 512 for n>3.

Empirical g.f.: x*(4096 - 21064*x + 42011*x^2 - 33764*x^3 - 7096*x^4 + 30588*x^5 - 9050*x^6- 20224*x^7 + 22372*x^8 - 9344*x^9 + 1476*x^10) / (1 - x)^8. - Colin Barker, Jan 26 2018

EXAMPLE

Some solutions for n=4:

..0....0....3....3....1....0....3....0....1....0....1....2....1....0....2....1

..0....0....2....3....3....2....3....0....3....0....2....2....1....0....1....1

..0....2....2....3....3....1....2....0....3....0....1....1....1....0....2....0

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

..1....0....2....1....1....2....2....1....0....2....1....1....3....3....2....2

..2....1....3....1....3....2....3....1....2....0....2....1....3....2....3....3

..2....2....3....2....3....2....1....1....3....0....0....2....3....2....3....1

..2....2....0....1....1....2....1....1....0....0....1....0....3....2....0....2

..0....2....1....3....1....0....2....2....0....0....2....3....1....3....3....3

CROSSREFS

Cf. A258730.

Sequence in context: A069273 A043424 A138174 * A180972 A255665 A223334

Adjacent sequences:  A258732 A258733 A258734 * A258736 A258737 A258738

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 08 2015

STATUS

approved

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)