A245755 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 10.

15, 147, 1003, 5286, 24396, 101768, 395410, 1452251, 5104104, 17300428, 56912396, 182543809, 573014123, 1765525901, 5352351017, 15996845972, 47213204699, 137795770991, 398168121417, 1140238386377, 3238947787201, 9133172049405, 25582174762816, 71220487524663

Offset: 42

Author

Joerg Arndt and Alois P. Heinz, Jul 31 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 42..800

Crossrefs

Column k=10 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, 10$2) -b(n-1$2, 9$2):
seq(a(n), n=42..70);