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A003515 Number of series-reduced connected labeled graphs with n nodes.
(Formerly M4009)
2
0, 1, 1, 0, 5, 51, 3634, 374119, 73161880, 26545249985, 17904840957826, 22602069719494379, 53938857227326533032, 246107945479472758874483, 2170331943503938546383205218, 37340982087637629911717846092591, 1262915556964772342158139988356979872 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Jackson and Reilly paper has typographical error in value for a(12). - Sean A. Irvine, Jun 17 2015

REFERENCES

D. M. Jackson and J. W. Reilly, The enumeration of homeomorphically irreducible labeled graphs, J. Combin. Theory, B 19 (1975), 272-286.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Sean A. Irvine, Table of n, a(n) for n = 0..34

FORMULA

E.g.f.: log(B(x)) where B(x) is the e.g.f. for A003514. - Sean A. Irvine, Jun 17 2015

CROSSREFS

Cf. A003514.

Sequence in context: A124559 A172403 A022516 * A022501 A134097 A299025

Adjacent sequences:  A003512 A003513 A003514 * A003516 A003517 A003518

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms and a(12) corrected by Sean A. Irvine, Jun 17 2015

STATUS

approved

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Last modified February 20 09:02 EST 2018. Contains 299384 sequences. (Running on oeis4.)