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A245753 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 8. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

30,2

LINKS

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

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);

CROSSREFS

Column k=8 of A244523.

Sequence in context: A186105 A080442 A033655 * A164604 A142370 A084751

Adjacent sequences:  A245750 A245751 A245752 * A245754 A245755 A245756

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 31 2014

STATUS

approved

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Last modified July 10 23:30 EDT 2020. Contains 335600 sequences. (Running on oeis4.)