A058964 Decimal expansion of series-parallel constant.

2, 8, 0, 8, 3, 2, 6, 6, 6, 9, 8, 4, 2, 0, 0, 3, 5, 5, 3, 9, 3, 2

Offset: 0

Author

N. J. A. Sloane, E. M. Rains, Jan 14 2001

Keywords

• nonn
• cons
• more

Examples

			0.2808326669842003553932...
		

References

• J. W. Moon, Some enumerative results on series-parallel networks, Annals Discrete Math., 33 (1987), 199-226.
• 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.

Links

• Steven R. Finch, Series-parallel networks, July 7, 2003. [Cached copy, with permission of the author]
• O. Golinelli, Asymptotic behavior of two-terminal series-parallel networks, arXiv:cond-mat/9707023 [cond-mat.stat-mech], 1997.

Crossrefs

See A058965 for continued fraction expansion. Cf. A000084, A000669.

Formula

This number, c, is defined by Product_{n=1..inf} (1-c^n)^(-A000669[n]) = 2.