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A255112 Number of length n+5 0..2 arrays with at most one downstep in every n consecutive neighbor pairs. 1
729, 1791, 2907, 4429, 6582, 9297, 12662, 16779, 21765, 27753, 34893, 43353, 53320, 65001, 78624, 94439, 112719, 133761, 157887, 185445, 216810, 252385, 292602, 337923, 388841, 445881, 509601, 580593, 659484, 746937, 843652, 950367, 1067859 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A255107.

LINKS

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

FORMULA

Empirical: a(n) = (1/120)*n^5 + (1/3)*n^4 + (115/24)*n^3 + (889/6)*n^2 + (3867/10)*n + 111 for n>3.

Empirical g.f.: x*(729 - 2583*x + 3096*x^2 - 728*x^3 - 1272*x^4 + 591*x^5 + 618*x^6 - 594*x^7 + 144*x^8) / (1 - x)^6. - Colin Barker, Jan 24 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A255107.

Sequence in context: A043455 A267697 A232925 * A255627 A139308 A295024

Adjacent sequences:  A255109 A255110 A255111 * A255113 A255114 A255115

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 14 2015

STATUS

approved

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Last modified November 19 02:01 EST 2018. Contains 317332 sequences. (Running on oeis4.)