A058965 Continued fraction expansion of series-parallel constant.

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, 2

Offset

0,2

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

Table of n, a(n) for n=0..33.

S. 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.

Formula

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

Example

Constant is 0.2808326669842003553932...

Crossrefs

See A058964 for decimal expansion. Cf. A000084, A000669.

Sequence in context: A262681 A076498 A110268 * A226306 A124921 A090623

Adjacent sequences: A058962 A058963 A058964 * A058966 A058967 A058968

Keyword

nonn,cofr,more

Author

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

Status

approved