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!)
A318857 Number of rooted trees with n nodes such that no more than ten isomorphic subtrees extend from the same node. 3
0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, 4765, 12484, 32968, 87798, 235346, 634752, 1720897, 4687949, 12824195, 35216118, 97039045, 268237121, 743594937, 2066803841, 5758576675, 16080698759, 44998355630, 126161517745, 354354779794, 996963790045, 2809334906744, 7928088014833, 22404525682620 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

This differs from A318804 first at n=34.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..2136

MAPLE

h:= proc(n, m, t) option remember; `if`(m=0, binomial(n+t, t),

      `if`(n=0, 0, add(h(n-1, m-j, t+1), j=1..min(10, m))))

    end:

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

      add(b(n-i*j, i-1)*h(a(i), j, 0), j=0..n/i)))

    end:

a:= n-> `if`(n<2, n, b(n-1$2)):

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

CROSSREFS

Column k=10 of A318757.

Cf. A318804.

Sequence in context: A145548 A292555 A318804 * A145549 A292556 A145550

Adjacent sequences:  A318854 A318855 A318856 * A318858 A318859 A318860

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 04 2018

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 August 17 00:01 EDT 2022. Contains 356180 sequences. (Running on oeis4.)