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A245129 Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 10. 2
4, 38, 176, 709, 2461, 7877, 23564, 67260, 184289, 489321, 1264330, 3194192, 7913035, 19276841, 46269287, 109625994, 256748635, 595150930, 1366840825, 3112999517, 7036328521, 15794921314, 35233087579, 78140317345, 172382151706, 378427107050, 826999312010 (list; graph; refs; listen; history; text; internal format)
OFFSET

43,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 43..500

MAPLE

b:= proc(n, i, h, v) option remember; `if`(n=0, `if`(v=0, 1, 0),

      `if`(i<1 or v<1 or n<v, 0, add(binomial(A(i, min(i-1, h)), j)

       *b(n-i*j, i-1, h, v-j), j=0..min(n/i, v))))

    end:

A:= proc(n, k) option remember;

      `if`(n<2, n, add(b(n-1$2, j$2), j=1..min(k, n-1)))

    end:

a:= n-> b(n-1$2, 10$2):

seq(a(n), n=43..75);

CROSSREFS

Column k=10 of A245120.

Sequence in context: A129310 A152110 A209486 * A196851 A196702 A196945

Adjacent sequences:  A245126 A245127 A245128 * A245130 A245131 A245132

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 12 2014

STATUS

approved

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Last modified September 18 16:49 EDT 2021. Contains 347531 sequences. (Running on oeis4.)