login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A292216 Number of (unlabeled) rooted trees with n leaf nodes and without unary nodes or outdegrees larger than ten. 2
0, 1, 1, 2, 5, 12, 33, 90, 261, 766, 2312, 7067, 21962, 68944, 218718, 699423, 2253303, 7304522, 23812437, 78008885, 256688310, 847979474, 2811399583, 9351303948, 31196953900, 104359901859, 349979094150, 1176395410202, 3962715659611, 13375015304266 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for sequences related to rooted trees

MAPLE

b:= proc(n, i, v) option remember; `if`(n=0,

      `if`(v=0, 1, 0), `if`(i<1 or v<1 or n<v, 0,

      `if`(v=n, 1, add(binomial(a(i)+j-1, j)*

       b(n-i*j, i-1, v-j), j=0..min(n/i, v)))))

    end:

a:= proc(n) option remember; `if`(n<2, n,

      add(b(n, n+1-j, j), j=2..min(n, 10)))

    end:

seq(a(n), n=0..35);

CROSSREFS

Column k=10 of A292085.

Sequence in context: A032124 A292214 A292215 * A000669 A295461 A191769

Adjacent sequences:  A292213 A292214 A292215 * A292217 A292218 A292219

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 11 2017

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 15 21:01 EST 2018. Contains 318154 sequences. (Running on oeis4.)