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A058965
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Continued fraction expansion of series-parallel constant.
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2
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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
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0,2
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REFERENCES
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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.
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LINKS
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Table of n, a(n) for n=0..33.
O. Golinelli, Asymptotic behavior of two-terminal series-parallel networks.
S. R. Finch, Series-parallel networks
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FORMULA
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This number, c, is defined by Product_{n=1..inf} (1-c^n)^(-A000669[n]) = 2.
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EXAMPLE
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.2808326669842003553932...
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CROSSREFS
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See A058964 for decimal expansion. Cf. A000084, A000669.
Sequence in context: A124921 A076498 A110268 * A090623 A098094 A087283
Adjacent sequences: A058962 A058963 A058964 * A058966 A058967 A058968
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane, E. M. Rains Jan 14 2001
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STATUS
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approved
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