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 A174313 Number of n-step walks on hexagonal lattice (no points repeated, no adjacent points unless consecutive in path). 6
 1, 6, 18, 54, 162, 474, 1398, 4074, 11898, 34554, 100302, 290322, 839382, 2422626, 6984342, 20110806, 57851358, 166258242, 477419658, 1369878582, 3927963138, 11255743434, 32235116502, 92267490414, 263968559874, 754837708494, 2157584748150, 6164626128066, 17606866229010 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice. Fisher and Hiley give 290334 and 839466 as their last terms instead of 290322 and 839382 (see A002933). Douglas McNeil confirms the correction on the seqfan list Nov 27 2010. REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). 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=0..28. M. E. Fisher and B. J. Hiley, Configuration and free energy of a polymer molecule with solvent interaction, J. Chem. Phys., 34 (1961), 1253-1267. G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2 CROSSREFS Cf. A173380 for square lattice equivalent. Sequence in context: A357198 A006779 A003208 * A002933 A016089 A099856 Adjacent sequences: A174310 A174311 A174312 * A174314 A174315 A174316 KEYWORD nonn,walk AUTHOR Joseph Myers, Nov 27 2010 EXTENSIONS a(19)-a(28) from Bert Dobbelaere, Jan 02 2019 STATUS approved

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Last modified February 22 02:45 EST 2024. Contains 370239 sequences. (Running on oeis4.)