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A255111 Number of length n+4 0..2 arrays with at most one downstep in every n consecutive neighbor pairs. 1
243, 622, 1137, 1905, 2951, 4338, 6141, 8448, 11361, 14997, 19489, 24987, 31659, 39692, 49293, 60690, 74133, 89895, 108273, 129589, 154191, 182454, 214781, 251604, 293385, 340617, 393825, 453567, 520435, 595056, 678093, 770246, 872253, 984891 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A255107.

LINKS

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

FORMULA

Empirical: a(n) = (1/120)*n^5 + (7/24)*n^4 + (85/24)*n^3 + (1505/24)*n^2 + (2809/20)*n + 30 for n>2.

Empirical g.f.: x*(243 - 836*x + 1050*x^2 - 447*x^3 - 219*x^4 + 339*x^5 - 156*x^6 + 27*x^7) / (1 - x)^6. - Colin Barker, Jan 24 2018

EXAMPLE

Some solutions for n=4:

1   1   0   0   2   2   1   2   0   0   2   2   1   2   0   0

1   1   0   2   0   0   2   0   0   2   2   2   2   0   1   2

1   2   0   1   1   0   2   2   2   1   2   2   0   0   1   1

0   2   1   1   1   0   1   2   2   1   2   2   0   0   2   2

0   2   2   1   1   1   2   2   2   1   1   2   2   0   2   2

0   2   2   2   2   2   2   2   2   2   1   1   2   1   0   2

1   2   0   0   1   2   2   0   2   2   2   1   2   2   2   2

0   2   0   0   1   2   0   2   0   2   2   2   1   1   2   0

CROSSREFS

Cf. A255107.

Sequence in context: A157958 A232924 A067838 * A331613 A255626 A205049

Adjacent sequences:  A255108 A255109 A255110 * A255112 A255113 A255114

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 14 2015

STATUS

approved

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Last modified October 30 18:13 EDT 2020. Contains 338090 sequences. (Running on oeis4.)