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Search: id:A058388
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| A058388 |
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Total number of interior nodes in all essentially parallel series-parallel networks with n labeled edges, multiple edges not allowed. |
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+0
3
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| 0, 0, 0, 3, 14, 195, 2059, 31150, 489012, 9073638, 183490118, 4135560660, 101421574440, 2706766547628, 77860733488732, 2405136817507216, 79353915366944784, 2786110796782734528, 103703080088989729280, 4079350129335095498048
(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_Q(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: A120459 A108798 A132490 this_sequence A081383 A001320 A133028
Adjacent sequences: A058385 A058386 A058387 this_sequence A058389 A058390 A058391
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KEYWORD
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nonn,easy,nice
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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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