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A220681 T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two horizontal, vertical and antidiagonal neighbors, without consecutive collinear links 7
1, 1, 1, 1, 4, 1, 1, 9, 9, 1, 1, 25, 43, 25, 1, 1, 64, 201, 201, 64, 1, 1, 169, 968, 2024, 968, 169, 1, 1, 441, 4604, 21380, 21380, 4604, 441, 1, 1, 1156, 22000, 220299, 468036, 220299, 22000, 1156, 1, 1, 3025, 104976, 2316754, 9973284, 9973284, 2316754 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Table starts
.1.....1........1............1................1...................1
.1.....4........9...........25...............64.................169
.1.....9.......43..........201..............968................4604
.1....25......201.........2024............21380..............220299
.1....64......968........21380...........468036.............9973284
.1...169.....4604.......220299..........9973284...........455249977
.1...441....22000......2316754........215926776.........21051034046
.1..1156...104976.....24198121.......4649097520........969333059888
.1..3025...501096....253601977.....100274426148......44710643494095
.1..7921..2391737...2654925237....2161781726064....2061425679292684
.1.20736.11415981..27806859021...46610315291176...95053260696179636
.1.54289.54489429.291197368229.1004947894341776.4382893797173364311
LINKS
EXAMPLE
Some solutions for n=3 k=4 0=self 2=n 3=ne 4=w 6=e 7=sw 8=s (reciprocal directions total 10)
.00.00.00.00...00.00.00.00...68.48.00.00...00.00.00.78...00.67.47.00
.68.48.68.48...00.68.47.00...26.24.68.48...00.78.36.24...38.38.00.00
.26.24.26.24...00.23.00.00...00.00.26.24...36.24.00.00...26.24.00.00
CROSSREFS
Column 2 is A007598(n+1)
Sequence in context: A146767 A146955 A155451 * A189280 A168621 A039756
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 17 2012
STATUS
approved

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Last modified June 25 13:13 EDT 2024. Contains 373705 sequences. (Running on oeis4.)