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A005398 Number of n-step polygons on f.c.c. lattice.
(Formerly M4512)
2
8, 33, 168, 970, 6168, 42069, 301376, 2241420, 17173224, 134806948, 1079802216, 8798329080, 72748583832, 609220407150, 5158999447488 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,1
REFERENCES
A. J. Guttmann, Polygons, Polyominoes and Polycubes, Lecture Notes in Physics Volume 775, 2009, Chapter 16.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
M. F. Sykes et al., Lattice constant systems and graph theory, J. Math. Phys., 7 (1966), 1557-1572.
MATHEMATICA
A001337 = Cases[Import["https://oeis.org/A001337/b001337.txt", "Table"], {_, _}][[All, 2]];
a[n_] := A001337[[n]]/(2n);
a /@ Range[3, 17] (* Jean-François Alcover, Jan 20 2020 *)
CROSSREFS
Equals A001337(n) / (2n).
Sequence in context: A346819 A220590 A001407 * A240044 A069509 A204191
KEYWORD
nonn,more,nice
AUTHOR
EXTENSIONS
More terms from Ruperto Corso, Dec 19 2011
a(15) and a(16) from Sean A. Irvine, Mar 30 2017
a(17) from Bert Dobbelaere, Jan 14 2019
STATUS
approved

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)