A005398 Number of n-step polygons on f.c.c. lattice. (Formerly M4512)

8, 33, 168, 970, 6168, 42069, 301376, 2241420, 17173224, 134806948, 1079802216, 8798329080, 72748583832, 609220407150, 5158999447488

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

Table of n, a(n) for n=3..17.

M. F. Sykes et al., Lattice constant systems and graph theory, J. Math. Phys., 7 (1966), 1557-1572.

Index entries for sequences related to f.c.c. lattice

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: A220590 A183776 A001407 * A240044 A069509 A204191

Adjacent sequences: A005395 A005396 A005397 * A005399 A005400 A005401

Keyword

nonn,more,nice

Author

N. J. A. Sloane

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