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A241784 Number of simple connected graphs on n nodes with no cycle of length 5. 2
1, 1, 2, 6, 13, 44, 144, 577, 2457, 12499, 72394, 508942, 4408389, 49858593, 769196039, 16729819397 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Inverse EULER transformation of A345216 (not necessarily connected)

LINKS

Table of n, a(n) for n=1..16.

Travis Hoppe and Anna Petrone, Encyclopedia of Finite Graphs

T. Hoppe and A. Petrone, Integer sequence discovery from small graphs, arXiv preprint arXiv:1408.3644 [math.CO], 2014.

F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version 29e68fa.

Eric Weisstein's World of Mathematics, Cycle Graph

CROSSREFS

Cf. Squarefree (C_4) graphs A077269.

Sequence in context: A001373 A320804 A284223 * A211995 A245010 A057243

Adjacent sequences:  A241781 A241782 A241783 * A241785 A241786 A241787

KEYWORD

nonn,hard,more,changed

AUTHOR

Travis Hoppe and Anna Petrone, Apr 28 2014

EXTENSIONS

a(11)-a(14) added using tinygraph by Falk Hüffner, Sep 22 2020

a(15) and a(16) added by Brendan McKay, Jun 10 2021

STATUS

approved

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Last modified June 22 14:15 EDT 2021. Contains 345380 sequences. (Running on oeis4.)