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A220648 Number of ways to reciprocally link elements of an nX3 array either to themselves or to exactly two king-move neighbors, without 3-loops 1
1, 23, 333, 4352, 59846, 816159, 11131560, 151872860, 2071881506, 28265332768, 385605987981, 5260573865475, 71766627731228, 979065962496791, 13356767420074715, 182217790214391903, 2485880154961341585 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A220652
LINKS
FORMULA
Empirical: a(n) = 9*a(n-1) +55*a(n-2) +119*a(n-3) -44*a(n-4) -388*a(n-5) -58*a(n-6) +355*a(n-7) +79*a(n-8) -85*a(n-9) -13*a(n-10)
EXAMPLE
Some solutions for n=3 0=self 1=nw 2=n 3=ne 4=w 6=e 7=sw 8=s 9=se (reciprocal directions total 10)
.00.67.48...00.69.47...00.89.00...68.46.47...00.00.00...00.67.48...89.67.47
.39.89.28...69.34.17...89.27.18...29.36.47...00.67.48...36.47.27...23.13.00
.00.12.12...00.13.00...23.16.24...00.13.00...36.46.24...36.34.00...00.00.00
CROSSREFS
Sequence in context: A270498 A260727 A000543 * A243422 A028110 A163512
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 17 2012
STATUS
approved

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Last modified May 26 22:32 EDT 2024. Contains 372847 sequences. (Running on oeis4.)