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Search: id:A092430
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| A092430 |
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Number of n-node labeled connected mating graphs, cf. A006024. |
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+0
6
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| 1, 1, 25, 438, 18388, 1409674, 206682994, 58152537184, 31715884061624, 33827568738189576, 71066571962396085656, 295645506683051376527648, 2444503529745123474354656720, 40269655263141217619453414445968
(list; graph; listen)
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OFFSET
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2,3
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COMMENT
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Number of n-node unlabeled connected mating graphs = number of n-node unlabeled connected graphs without endpoints, n>2; cf. A004108.
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REFERENCES
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Goran Kilibarda, "Enumeration of unlabeled mating graphs", Belgrade, 2004, to be published.
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LINKS
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Goran Kilibarda, Enumeration of Unlabeled Mating Graphs, Graphs and Combinatorics, Volume 23, Number 2 / April, 2007, pp. 183-199.
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FORMULA
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E.g.f.: ln(Sum(2^binomial(n, 2)*ln(1+x)^n/n!, n=0..infinity)/(1+x)). a(n) = A079306(n)+(-1)^n*(n-1)!. - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 28 2004
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CROSSREFS
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Cf. A006024, A079306, A007833, A004108.
Cf. A059166.
Sequence in context: A019722 A004346 A021324 this_sequence A018207 A001714 A016633
Adjacent sequences: A092427 A092428 A092429 this_sequence A092431 A092432 A092433
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KEYWORD
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nonn
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AUTHOR
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Goran Kilibarda, Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 22 2004
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