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 A003290 Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,2). (Formerly M4119) 7
 1, 6, 18, 50, 156, 508, 1724, 6018, 21440, 77632, 284706, 1055162, 3944956, 14858934, 56325420, 214698578, 822373244, 3163606784, 12217121138, 47343356398, 184038696776, 717456797490, 2804219712064, 10986639618642 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice. REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS 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, A003291, A005549, A005550, A005551, A005552, A005553. Sequence in context: A179754 A086926 A328534 * A318160 A220227 A075650 Adjacent sequences:  A003287 A003288 A003289 * A003291 A003292 A003293 KEYWORD nonn,walk,more AUTHOR EXTENSIONS More terms and title improved by Sean A. Irvine, Feb 13 2016 a(23)-a(25) from Bert Dobbelaere, Jan 15 2019 STATUS approved

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Last modified December 11 07:38 EST 2019. Contains 329914 sequences. (Running on oeis4.)