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A010576 Number of n-step self-avoiding walks on 5-d cubic lattice. 8

%I #15 Aug 17 2014 02:33:17

%S 1,10,90,810,7210,64250,570330,5065530,44906970,398227610,3527691690,

%T 31255491850,276741169130,2450591960890,21690684337690,

%U 192003889675210,1699056192681930,15035937610909770,133030135015071770,1177032340670878170,10412322608416261050

%N Number of n-step self-avoiding walks on 5-d cubic lattice.

%H Hugo Pfoertner, <a href="/A010576/b010576.txt">Table of n, a(n) for n = 0..24</a> [from Clisby link below]

%H N. Clisby, R. Liang and G. Slade <a href="http://dx.doi.org/10.1088/1751-8113/40/36/003">Self-avoiding walk enumeration via the lace expansion</a> J. Phys. A: Math. Theor. vol. 40 (2007) p 10973-11017, Table A7 for n<=24.

%H M. E. Fisher and D. S. Gaunt, <a href="http://dx.doi.org/10.1103/PhysRev.133.A224">Ising model and self-avoiding walks on hypercubical lattices and high density expansions</a>, Phys. Rev. 133 (1964) A224-A239.

%Y Cf. A010575 Self-avoiding walks on 4-d cubic lattice.

%K nonn,walk

%O 0,2

%A _N. J. A. Sloane_.

%E Terms a(12) and beyond from _Hugo Pfoertner_, Aug 16 2014

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)