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A222550 Number of (n+3) X 1 arrays of occupancy after each element moves up to +-3 places but not 0. 1
31, 102, 359, 1279, 4537, 15929, 56041, 197313, 694561, 2443809, 8598567, 30254246, 106446779, 374510087, 1317616614, 4635657529, 16309130459, 57378359687, 201866467555, 710197956209, 2498584711494, 8790394014302, 30925899907467 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A222555.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..131

FORMULA

Empirical: a(n) = 7*a(n-1) -15*a(n-2) +10*a(n-3) +4*a(n-4) -36*a(n-5) +73*a(n-6) -29*a(n-7) -21*a(n-8) -a(n-9).

Empirical g.f.: x*(31 - 115*x + 110*x^2 - 14*x^3 - 175*x^4 + 473*x^5 - 224*x^6 - 148*x^7 - 7*x^8) / (1 - 7*x + 15*x^2 - 10*x^3 - 4*x^4 + 36*x^5 - 73*x^6 + 29*x^7 + 21*x^8 + x^9). - Colin Barker, Aug 16 2018

EXAMPLE

Some solutions for n=3:

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

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

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

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

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

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

CROSSREFS

Cf. A222555.

Sequence in context: A323617 A142096 A268986 * A075936 A221902 A289134

Adjacent sequences:  A222547 A222548 A222549 * A222551 A222552 A222553

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 24 2013

STATUS

approved

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Last modified May 20 21:39 EDT 2022. Contains 353876 sequences. (Running on oeis4.)