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A222160 Number of (n+2) X 1 arrays of occupancy after each element moves up to +-2 places but not 0 and without 2-loops. 1
1, 5, 17, 53, 159, 467, 1356, 3913, 11253, 32299, 92606, 265353, 760080, 2176758, 6233232, 17847997, 51103477, 146319703, 418938535, 1199485661, 3434300229, 9832876386, 28152852451, 80605364957, 230783807849, 660764392260 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 2 of A222165.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) + a(n-2) - 3*a(n-3) - 2*a(n-4) - 2*a(n-5) - a(n-6).

Empirical g.f.: x*(1 + x)^2 / ((1 - x - x^2)*(1 - 2*x - 2*x^2 - x^3 - x^4)). - Colin Barker, Aug 15 2018

EXAMPLE

Some solutions for n=3:

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

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

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

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

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

CROSSREFS

Cf. A222165.

Sequence in context: A110318 A088210 A135344 * A027028 A176086 A048473

Adjacent sequences:  A222157 A222158 A222159 * A222161 A222162 A222163

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 10 2013

STATUS

approved

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Last modified September 22 01:18 EDT 2021. Contains 347605 sequences. (Running on oeis4.)