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A165452 Number of connected graphs of odd girth at least 7 with n vertices. 0
1, 1, 1, 3, 5, 17, 45, 184, 748, 4143, 26532, 221032, 2326853, 32202266, 589436301, 14459238676 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The odd girth of a graph is the length of a shortest cycle of odd length. Thus, these are the connected graphs that do not have a triangle or C_5 as induced subgraph. - Falk Hüffner, Jan 15 2016

LINKS

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

F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version ece94ef.

CROSSREFS

Cf. A005142, A024607.

Sequence in context: A236458 A131342 A005142 * A106063 A215106 A006483

Adjacent sequences:  A165449 A165450 A165451 * A165453 A165454 A165455

KEYWORD

nonn

AUTHOR

Friedrich Regen (friedrich.regen(AT)tu-ilmenau.de), Sep 20 2009

EXTENSIONS

a(15) and a(16) added using tinygraph by Falk Hüffner, Jan 15 2016

STATUS

approved

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Last modified October 17 11:47 EDT 2019. Contains 328108 sequences. (Running on oeis4.)