A318852 Number of rooted trees with n nodes such that no more than five isomorphic subtrees extend from the same node.

0, 1, 1, 2, 4, 9, 20, 47, 113, 281, 706, 1807, 4671, 12223, 32245, 85777, 229670, 618732, 1675523, 4559000, 12456756, 34166545, 94034740, 259621512, 718846854, 1995610386, 5553500697, 15489256677, 43290763753, 121226491459, 340079258393, 955634312429

Offset: 0

Author

Alois P. Heinz, Sep 04 2018

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..2138

Crossrefs

Column k=5 of A318757.

Programs

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(5, 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);