A304125 - OEIS

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A304125

Number of simple graphs with n vertices which contain no K5 subgraph.

1, 2, 4, 11, 33, 150, 986, 11416, 245440, 10164119, 793907916, 114150623175, 29709609171994 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`The graphs do not need to be connected.`
	LINKS	`Table of n, a(n) for n=1..13.`
	FORMULA	`a(n) = 1+A052450(n)+A052451(n)+A052452(n).`
	CROSSREFS	`Cf. A000088, A006785 (no K3), A115196 (graphs by clique number), A304124 (no K4).` `Sequence in context: A123450 A052431 A076316 * A082104 A198634 A287007` `Adjacent sequences: A304122 A304123 A304124 * A304126 A304127 A304128`
	KEYWORD	`nonn,more`
	AUTHOR	`Brendan McKay, May 06 2018`
	EXTENSIONS	`a(13) from Brendan McKay, May 08 2018`
	STATUS	`approved`

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Last modified February 7 17:57 EST 2023. Contains 360128 sequences. (Running on oeis4.)