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!)
A055540 Total number of leaves (nodes of vertex degree 1) in all graphs of n nodes. 4
0, 2, 4, 14, 38, 153, 766, 6259, 88064, 2324157, 116563882, 11060411527, 1968703079886, 654492092481733, 406111248305672980, 471005105043787823717, 1023566652048387537072658, 4179937690541808658135640875, 32172436158252943170541450460638 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, Tree Leaf
FORMULA
a(n) = Sum_{k=1..n} k*A327371(n, k). - Andrew Howroyd, Sep 04 2019
PROG
(PARI) \\ See A327371 for G.
seq(n)=Vec(subst(deriv(G(n), y), y, 1), -n) \\ Andrew Howroyd, Jan 22 2021
CROSSREFS
Sequence in context: A053623 A035010 A349450 * A006252 A079995 A279322
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(8) and a(9) from Eric W. Weisstein, Jun 02 2004
a(10) from Andrew Howroyd, Sep 04 2019
Terms a(11) and beyond from Andrew Howroyd, Jan 22 2021
STATUS
approved

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 March 19 07:49 EDT 2024. Contains 370958 sequences. (Running on oeis4.)