

A058965


Continued fraction expansion of seriesparallel constant.


2



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
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OFFSET

0,2


REFERENCES

J. W. Moon, Some enumerative results on seriesparallel networks, Annals Discrete Math., 33 (1987), 199226.
J. Riordan and C. E. Shannon, The number of twoterminal seriesparallel networks, J. Math. Phys., 21 (1942), 8393. Reprinted in Claude Elwood Shannon: Collected Papers, edited by N. J. A. Sloane and A. D. Wyner, IEEE Press, NY, 1993, pp. 560570.


LINKS

Table of n, a(n) for n=0..33.
S. R. Finch, Seriesparallel networks, July 7, 2003. [Cached copy, with permission of the author]
O. Golinelli, Asymptotic behavior of twoterminal seriesparallel networks, arXiv:condmat/9707023 [condmat.statmech], 1997.


FORMULA

This number, c, is defined by Product_{n=1..inf} (1c^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 A090623 A098094
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



