%I #26 Jun 03 2017 15:29:12
%S 0,3,1,1,3,1,1,1,1,3,1,3,12,1,8,8,1,7,6,1,5,2,1,1,4,1,3,2,36,1,10,6,1,
%T 2
%N Continued fraction expansion of series-parallel constant.
%D J. W. Moon, Some enumerative results on series-parallel networks, Annals Discrete Math., 33 (1987), 199-226.
%D J. Riordan and C. E. Shannon, The number of two-terminal series-parallel networks, J. Math. Phys., 21 (1942), 83-93. Reprinted in Claude Elwood Shannon: Collected Papers, edited by N. J. A. Sloane and A. D. Wyner, IEEE Press, NY, 1993, pp. 560-570.
%H S. R. Finch, <a href="/A000084/a000084_2.pdf">Series-parallel networks</a>, July 7, 2003. [Cached copy, with permission of the author]
%H O. Golinelli, <a href="http://arXiv.org/abs/cond-mat/9707023">Asymptotic behavior of two-terminal series-parallel networks</a>, arXiv:cond-mat/9707023 [cond-mat.stat-mech], 1997.
%F This number, c, is defined by Product_{n=1..inf} (1-c^n)^(-A000669[n]) = 2.
%e Constant is 0.2808326669842003553932...
%Y See A058964 for decimal expansion. Cf. A000084, A000669.
%K nonn,cofr,more
%O 0,2
%A _N. J. A. Sloane_, E. M. Rains, Jan 14 2001