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!)
A106362 Number of rooted planar trees in which no branch is identical to its adjacent neighbor. 2
1, 1, 1, 2, 4, 10, 28, 77, 221, 650, 1951, 5920, 18211, 56509, 176919, 557786, 1769966, 5647568, 18110734, 58335561, 188658338, 612337013, 1994058293, 6513153445, 21332562178, 70048092196, 230550762108, 760462920317 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..28.

Index entries for sequences related to rooted trees

FORMULA

G.f.: x+x*B(x) where B(x) is g.f. of CycleBG transform of A106361.

CycleBG transform T(A) = invMOEBIUS(invEULER(Carlitz(A)) + A(x^2) - A) + A.

Carlitz transform T(A(x)) has g.f. 1/(1-sum(k>0, (-1)^(k+1)*A(x^k))).

CROSSREFS

Cf. A003239, A106363.

Sequence in context: A128933 A173781 A340825 * A271896 A148109 A099216

Adjacent sequences:  A106359 A106360 A106361 * A106363 A106364 A106365

KEYWORD

nonn

AUTHOR

Christian G. Bower, Apr 29 2005

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 May 23 11:27 EDT 2022. Contains 353975 sequences. (Running on oeis4.)