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Search: id:A058406
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| A058406 |
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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, 2, 27, 199, 2645, 34236, 560742, 9958754, 201928954, 4480386932, 109410252512, 2897637649204, 82974026800132, 2550731142019568, 83843131420325008, 2933465366569951168, 108862752438362487648, 4270766898251635808800
(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_R(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: A119351 A098627 A051766 this_sequence A049070 A011543 A091709
Adjacent sequences: A058403 A058404 A058405 this_sequence A058407 A058408 A058409
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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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