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A245755 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 10. 2
15, 147, 1003, 5286, 24396, 101768, 395410, 1452251, 5104104, 17300428, 56912396, 182543809, 573014123, 1765525901, 5352351017, 15996845972, 47213204699, 137795770991, 398168121417, 1140238386377, 3238947787201, 9133172049405, 25582174762816, 71220487524663 (list; graph; refs; listen; history; text; internal format)
OFFSET

42,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 42..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, 10$2) -b(n-1$2, 9$2):

seq(a(n), n=42..70);

CROSSREFS

Column k=10 of A244523.

Sequence in context: A025440 A155638 A252982 * A240419 A069417 A051272

Adjacent sequences:  A245752 A245753 A245754 * A245756 A245757 A245758

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 31 2014

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)