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 A014395 Number of multigraphs with 5 nodes and n edges. 11
 1, 1, 3, 7, 17, 35, 76, 149, 291, 539, 974, 1691, 2874, 4730, 7620, 11986, 18485, 27944, 41550, 60744, 87527, 124338, 174403, 241650, 331153, 448987, 602853, 801943, 1057615, 1383343, 1795578, 2313595, 2960656, 3763879, 4755505, 5972927, 7460196, 9267980 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES CRC Handbook of Combinatorial Designs, 1996, p. 650. F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973, p. 88, (4.1.18). J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 2004; p. 517. LINKS FORMULA G.f.: (x^21 + x^20 + 5*x^19 + 8*x^18 + 14*x^17 + 22*x^16 + 32*x^15 + 40*x^14 + 39*x^13 + 47*x^12 + 36*x^11 + 36*x^10 + 25*x^9 + 21*x^8 + 12*x^7 + 11*x^6 + 4*x^5 + 4*x^4 + x^3 + x^2 - x + 1)/((x^6 - 1)*(x^5 - 1)^2*(x^4 - 1)^2*(x^3 - 1)^2*(x - 1)^3*(x + 1)). MATHEMATICA CoefficientList[Series[PairGroupIndex[SymmetricGroup[5], s]/.Table[s[i]->1/(1-x^i), {i, 1, Binomial[5, 2]}], {x, 0, 30}], x] (* Geoffrey Critzer, Oct 14 2012 *) CROSSREFS Cf. A001399, A003082, A014396-A014398. Sequence in context: A034482 A114100 A260677 * A295146 A014314 A221792 Adjacent sequences:  A014392 A014393 A014394 * A014396 A014397 A014398 KEYWORD easy,nonn AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Dec 23 1999 STATUS approved

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Last modified November 13 19:25 EST 2018. Contains 317149 sequences. (Running on oeis4.)