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%I #27 Apr 19 2023 17:06:47
%S 1,5,21,93,409,1853,8333,37965,172265,787557,3593465,16477845,
%T 75481105,346960613,1593924045,7341070889,33798930541,155915787353,
%U 719101961769,3321659652529,15341586477457,70944927549085,328054694768261,1518490945278377,7028570356547189,32560476643826933,150838831585499069
%N Number of n-step self-avoiding walks on the upper 4 octants of the cubic grid starting at origin.
%C Guttmann-Torrie simple cubic lattice series coefficients c_n^{2}(Pi). - _N. J. A. Sloane_, Jul 06 2015
%H M. N. Barber et al., <a href="https://doi.org/10.1088/0305-4470/11/9/017">Some tests of scaling theory for a self-avoiding walk attached to a surface</a>, 1978 J. Phys. A: Math. Gen. 11 1833.
%H Nathan Clisby, Andrew R. Conway and Anthony J. Guttmann, <a href="https://doi.org/10.1088/1751-8113/49/1/015004">Three-dimensional terminally attached self-avoiding walks and bridges</a>, J. Phys. A: Math. Theor., 49 (2016), 015004; arXiv:<a href="https://arxiv.org/abs/1504.02085">1504.02085</a> [cond-mat.stat-mech], 2015. [Warning: arXiv version has typos in a(11) and a(12).]
%H T. Dachraoui et al., <a href="https://doi.org/10.1108/03684929710192009">Elementary paths in a cubic lattice and application to molecular biology</a>, Kybernetes, Vol. 26 No. 9, pp. 1012-1030.
%H A. J. Guttmann and G. M. Torrie, <a href="https://doi.org/10.1088/0305-4470/17/18/023">Critical behavior at an edge for the SAW and Ising model</a>, J. Phys. A 17 (1984), 3539-3552.
%e See A116903 for a graphical example of the bidimensional counterpart.
%Y Cf. A001412, A039648, A116903.
%K nonn
%O 0,2
%A _Giovanni Resta_, Feb 15 2006
%E a(16)-a(20) from _Scott R. Shannon_, Aug 12 2020
%E a(21)-a(26) from Clisby et al. added by _Andrey Zabolotskiy_, Apr 18 2023
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