A001337
Number of n-step polygons on f.c.c. lattice.
Original entry on oeis.org
0, 0, 48, 264, 1680, 11640, 86352, 673104, 5424768, 44828400, 377810928, 3235366752, 28074857616, 246353214240, 2182457514960, 19495053028800, 175405981214592
Offset: 1
- B. D. Hughes, Random Walks and Random Environments, Oxford 1995, vol. 1, p. 460.
- 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).
- M. E. Fisher and M. F. Sykes, Excluded-volume problem and the Ising model of ferromagnetism, Phys. Rev. 114 (1959), 45-58.
- B. D. Hughes, Random Walks and Random Environments, vol. 1, Oxford 1995, Tables and references for self-avoiding walks counts [Annotated scanned copy of several pages of a preprint or a draft of chapter 7 "The self-avoiding walk"]
- J. L. Martin, M. F. Sykes and F. T. Hioe, Probability of initial ring closure for self-avoiding walks on the face-centered cubic and triangular lattices, J. Chem. Phys., 46 (1967), 3478-3481.
- Index entries for sequences related to f.c.c. lattice
A003288
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,0,2).
Original entry on oeis.org
4, 24, 152, 1080, 8152, 63976, 518232, 4299728, 36360872, 312284536, 2716694880, 23891215320, 212064567160, 1897551819416
Offset: 2
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A005543
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,2,2).
Original entry on oeis.org
1, 12, 114, 940, 7568, 61728, 512996, 4334884, 37164700, 322624804, 2830973320, 25074130996, 223900666504, 2013718244072
Offset: 2
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A005544
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,1,2).
Original entry on oeis.org
2, 18, 136, 1030, 7992, 63796, 522474, 4369840, 37179840, 320861342, 2802304988, 24725041598, 220077128644, 1973963065574
Offset: 2
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A005545
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,1,3).
Original entry on oeis.org
9, 96, 835, 7020, 58857, 497360, 4251804, 36765592, 321262541, 2833702404, 25204186455, 225846648440
Offset: 3
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A005546
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,3,3).
Original entry on oeis.org
1, 24, 360, 4000, 39330, 367912, 3370604, 30630980, 277824572, 2522478772, 22959239730, 209629138108, 1920548559328
Offset: 3
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A005547
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,2,3).
Original entry on oeis.org
3, 52, 575, 5470, 49303, 436446, 3850752, 34063392, 302790797, 2706629188, 24332099665, 219940720414
Offset: 3
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
a(11) corrected, more terms, and title improved by
Sean A. Irvine, Feb 17 2016
A005548
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (2,2,2).
Original entry on oeis.org
6, 72, 690, 6192, 53946, 466800, 4053816, 35450940, 312411672, 2773863060, 24802293720, 223203954264, 2020552369164
Offset: 3
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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