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Search: id:A058475
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| A058475 |
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Total number of interior nodes in all series-parallel networks with n labeled edges, multiple edges not allowed. |
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+0
3
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| 0, 0, 1, 5, 41, 394, 4704, 65386, 1049754, 19032392, 385419072, 8615947592, 210831826952, 5604404196832, 160834760288864, 4955867959526784, 163197046787269792, 5719576163352685696, 212565832527352216928, 8350117027586731306848
(list; graph; listen)
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OFFSET
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0,4
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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 (the sequence I_V(n)*Q_pi).
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LINKS
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Index entries for sequences mentioned in Moon (1987)
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FORMULA
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Let Q, R = Q-log(1+x), V=Q+R be the e.g.f.'s for A058379, A058380, A058381 resp. E.g.f.'s for A058475, A058406, A058388 are E_V = (V*Q-R)/(1-V), E_R = E_V/(1+V), E_Q = (E_V+V)/(1+V)-Q.
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CROSSREFS
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Sequence in context: A083884 A156153 A026000 this_sequence A064087 A081215 A140095
Adjacent sequences: A058472 A058473 A058474 this_sequence A058476 A058477 A058478
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 20 2000
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