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A245751 Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 6. 2
3, 15, 70, 256, 884, 2840, 8788, 26238, 76511, 218462, 614003, 1702291, 4667792, 12678438, 34163511, 91424125, 243210889, 643652954, 1695711086, 4449529462, 11634279616, 30324707572, 78819222196, 204348623105, 528597552113, 1364545143938, 3515960193715 (list; graph; refs; listen; history; text; internal format)
OFFSET

20,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 20..1000

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, 6$2) -b(n-1$2, 5$2):

seq(a(n), n=20..60);

CROSSREFS

Column k=6 of A244523.

Sequence in context: A318967 A277370 A213140 * A033876 A291031 A009174

Adjacent sequences:  A245748 A245749 A245750 * A245752 A245753 A245754

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 31 2014

STATUS

approved

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Last modified January 18 11:14 EST 2019. Contains 319271 sequences. (Running on oeis4.)