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  • Jesse Sakari Hyttinen

Generating r1 - r6 - Jesse Hyttinen

Updated: Apr 21, 2021


Hi and welcome to the Matladpi blog!


In this blog post we will generate all of the rooted trees for sizes 1 - 6.


1 = 1


r1 = 1


2 = 1+1


r2 = 1


3 = 1+1*2

= 1+2


r3 = 2


4 = 1+1*3

= 1+2+1

= 1+3

= 1+(1+2)


r4 = 4


5 = 1+1*4

= 1+2+1*2

= 1+2*2

= 1+3+1

= 1+(1+2)+1

= 1+4

= 1+(1+2+1)

= 1+(1+3)

= 1+(1+(1+2))


r5 = 9


6 = 1+1*5

= 1+2+1*3

=1+2*2+1

=1+3+1*2

=1+(1+2)+1*2

=1+3+2

=1+(1+2)+2

=1+4+1

=1+(1+2+1)+1

=1+(1+3)+1

=1+(1+(1+2))+1

=1+5

=1+(1+2+1*2)

=1+(1+2*2)

=1+(1+3+1)

=1+(1+(1+2)+1)

=1+(1+4)

=1+(1+(1+2+1))

=1+(1+(1+3))

=1+(1+(1+(1+2)))


r6 = 20


I am Jesse Sakari Hyttinen and I will see you in the next post!



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