A245753 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 8.

1, 19, 113, 564, 2362, 9062, 32336, 109826, 358021, 1131089, 3480858, 10484995, 31012892, 90329292, 259621691, 737665484, 2074944123, 5785110380, 16003477783, 43963346701, 120021805899, 325835717520, 880125679307, 2366498068034, 6336725620724, 16903670460151

Offset: 30

Author

Joerg Arndt and Alois P. Heinz, Jul 31 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 30..800

Crossrefs

Column k=8 of A244523.

Programs

Maple

b:= proc(n, i, t, k) option remember; `if`(n=0, 1,
      `if`(i<1, 0, add(binomial(b(i-1$2, k$2), j)*
       b(n-i*j, i-1, t-j, k), j=0..min(t, n/i))))
    end:
a:= n-> b(n-1$2, 8$2) -b(n-1$2, 7$2):
seq(a(n), n=30..60);