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A058387 Number of series-parallel networks with n unlabeled edges, multiple edges not allowed. +0
3
0, 1, 1, 2, 4, 8, 18, 40, 94, 224, 548, 1356, 3418, 8692, 22352, 57932, 151312, 397628, 1050992, 2791516, 7447972, 19950628, 53635310, 144664640, 391358274, 1061628772, 2887113478, 7869761108, 21497678430, 58841838912, 161356288874 (list; graph; listen)
OFFSET

0,4

COMMENT

This is a series-parallel network: o-o; all other series-parallel networks are obtained by connecting two series-parallel networks in series or in parallel. See A000084 for examples.

REFERENCES

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

LINKS

Index entries for sequences mentioned in Moon (1987)

S. R. Finch, Series-parallel networks

FORMULA

A058387 = A058385 + A058386.

CROSSREFS

Cf. A058379, A058386, A058385, A000084, A000311, A000669, A006351.

Sequence in context: A052910 A000967 A096813 this_sequence A019231 A112483 A057151

Adjacent sequences: A058384 A058385 A058386 this_sequence A058388 A058389 A058390

KEYWORD

nonn,nice,easy

AUTHOR

njas, Dec 20 2000

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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