A058964 - OEIS

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

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OFFSET

0,1

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..21.

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

0.2808326669842003553932...

CROSSREFS

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

Sequence in context: A246725 A188934 A058655 * A021360 A028256 A209455

Adjacent sequences: A058961 A058962 A058963 * A058965 A058966 A058967

KEYWORD

nonn,cons

AUTHOR

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

STATUS

approved