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A014396 Number of multigraphs with 6 nodes and n edges. 6
1, 1, 3, 8, 21, 52, 132, 313, 741, 1684, 3711, 7895, 16310, 32604, 63363, 119745, 220546, 396428, 696750, 1198812, 2022503, 3349574, 5452496, 8732932, 13776366, 21423968, 32872642, 49804323, 74560913, 110369469, 161639227 (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

Table of n, a(n) for n=0..30.

MATHEMATICA

CoefficientList[Series[PairGroupIndex[SymmetricGroup[6], s]/.Table[s[i]->1/(1-x^i), {i, 1, Binomial[6, 2]}], {x, 0, 30}], x] (* Geoffrey Critzer, Oct 14 2012 *)

CROSSREFS

Cf. A001399, A003082, A014395, A014397, A014398.

Sequence in context: A096770 A007835 A152086 * A170881 A039671 A267946

Adjacent sequences:  A014393 A014394 A014395 * A014397 A014398 A014399

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms and better description from Vladeta Jovovic, Dec 29 1999

STATUS

approved

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Last modified November 13 11:34 EST 2018. Contains 317133 sequences. (Running on oeis4.)