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 A005550 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,2). (Formerly M3012) 7
 3, 16, 57, 184, 601, 2036, 7072, 25088, 90503, 330836, 1222783, 4561058, 17145990, 64888020, 246995400, 944986464, 3631770111, 14013725268, 54268946152, 210842757798, 821569514032, 3209925357702, 12572219405144 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice. REFERENCES 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..25. D. S. McKenzie, The end-to-end length distribution of self-avoiding walks, J. Phys. A 6 (1973), 338-352. G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2 CROSSREFS Cf. A001335, A003289, A003290, A003291, A005549, A005551, A005552, A005553. Sequence in context: A173052 A027540 A099851 * A210323 A062474 A073999 Adjacent sequences: A005547 A005548 A005549 * A005551 A005552 A005553 KEYWORD nonn,walk,more AUTHOR N. J. A. Sloane EXTENSIONS More terms and title improved by Sean A. Irvine, Feb 15 2016 a(23)-a(25) from Bert Dobbelaere, Jan 15 2019 STATUS approved

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Last modified June 18 04:26 EDT 2024. Contains 373468 sequences. (Running on oeis4.)