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A220629 Number of ways to reciprocally link elements of an n X 5 array either to themselves or to exactly two horizontal or antidiagonal neighbors. 1
1, 8, 44, 257, 1481, 8560, 49448, 285669, 1650333, 9534128, 55079528, 318199485, 1838267585, 10619840324, 61351790884, 354434918989, 2047603011865, 11829190267612, 68338316351600, 394796716945057, 2280776817922653 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A220632.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) + 9*a(n-2) + 7*a(n-3) + 2*a(n-4) - a(n-5).

Empirical g.f.: x*(1 + 3*x - x^2)*(1 + x + x^2) / ((1 + x)*(1 - 5*x - 4*x^2 - 3*x^3 + x^4)). - Colin Barker, Aug 01 2018

EXAMPLE

Some solutions for n=3 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10):

.00.67.46.46.47...00.67.46.47.00...00.00.00.00.00...00.00.67.46.47

.36.47.00.36.47...36.46.34.67.47...00.67.46.47.00...00.37.67.34.00

.36.46.46.34.00...00.00.36.34.00...36.46.34.00.00...36.34.00.00.00

CROSSREFS

Cf. A220632.

Sequence in context: A147828 A155604 A126476 * A210118 A112908 A264819

Adjacent sequences:  A220626 A220627 A220628 * A220630 A220631 A220632

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2012

STATUS

approved

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Last modified October 29 18:49 EDT 2020. Contains 338067 sequences. (Running on oeis4.)