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A220718 T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two king-move neighbors, without consecutive collinear links 6
1, 1, 1, 1, 8, 1, 1, 26, 26, 1, 1, 118, 226, 118, 1, 1, 463, 2243, 2243, 463, 1, 1, 1930, 21195, 72923, 21195, 1930, 1, 1, 7843, 201598, 2126423, 2126423, 201598, 7843, 1, 1, 32209, 1913495, 63806966, 168897201, 63806966, 1913495, 32209, 1, 1, 131698 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1.......1..........1.............1..............1...............1

.1.......8.........26...........118............463............1930

.1......26........226..........2243..........21195..........201598

.1.....118.......2243.........72923........2126423........63806966

.1.....463......21195.......2126423......168897201.....14158198781

.1....1930.....201598......63806966....14158198781...3503850286857

.1....7843....1913495....1902974315..1166906554415.837962999003819

.1...32209...18172469...56814065240.96567512189416

.1..131698..172565016.1695753689937

.1..539466.1638746380

.1.2208130

.1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

EXAMPLE

Some solutions for n=3 k=4 0=self 1=nw 2=n 3=ne 4=w 6=e 7=sw 8=s 9=se (reciprocal directions total 10)

.00.69.47.00...68.48.69.47...00.69.47.00...69.49.00.00...00.68.47.00

.68.34.17.78...29.27.39.17...69.34.16.47...00.17.17.78...00.23.69.48

.26.34.36.24...36.14.36.14...00.16.34.00...36.34.36.24...00.00.00.12

CROSSREFS

Sequence in context: A155452 A147295 A174388 * A176283 A323324 A181543

Adjacent sequences:  A220715 A220716 A220717 * A220719 A220720 A220721

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 18 2012

STATUS

approved

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Last modified January 24 04:35 EST 2020. Contains 331183 sequences. (Running on oeis4.)