login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A327235 Number of unlabeled simple graphs with n vertices whose edge-set is not connected. 4

%I #5 Sep 02 2019 08:05:20

%S 1,1,1,1,2,4,14,49,234,1476,15405,307536,12651788,1044977929,

%T 167207997404,50838593828724,29156171171238607,31484900549777534887,

%U 64064043979274771429379,246064055301339083624989655

%N Number of unlabeled simple graphs with n vertices whose edge-set is not connected.

%F a(n) = 1 + A000088(n) - Sum_{i = 1..n} A001349(i).

%e The a(4) = 2 through a(6) = 14 edge-sets:

%e {} {} {}

%e {12,34} {12,34} {12,34}

%e {12,35,45} {12,34,56}

%e {12,34,35,45} {12,35,45}

%e {12,34,35,45}

%e {12,35,46,56}

%e {12,36,46,56}

%e {13,23,46,56}

%e {12,34,35,46,56}

%e {12,36,45,46,56}

%e {13,23,45,46,56}

%e {12,13,23,45,46,56}

%e {12,35,36,45,46,56}

%e {12,34,35,36,45,46,56}

%Y Unlabeled non-connected graphs are A000719.

%Y Partial sums of A327075.

%Y The labeled version is A327199.

%Y Cf. A000088, A001349, A002494, A052446, A054592, A327070, A327071.

%K nonn

%O 0,5

%A _Gus Wiseman_, Sep 01 2019

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 17 21:22 EDT 2024. Contains 371767 sequences. (Running on oeis4.)