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A245126 Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 7. 2
1, 8, 26, 86, 247, 669, 1709, 4251, 10214, 24066, 55551, 126369, 283505, 629261, 1382778, 3013846, 6519955, 14015077, 29952488, 63690016, 134807361, 284170813, 596800591, 1249172169, 2606663357, 5424220543, 11258470062, 23313312932, 48171597034, 99337649116 (list; graph; refs; listen; history; text; internal format)
OFFSET

25,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 25..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, 7$2):

seq(a(n), n=25..60);

CROSSREFS

Column k=7 of A245120.

Sequence in context: A207101 A027004 A194021 * A278769 A173365 A261971

Adjacent sequences:  A245123 A245124 A245125 * A245127 A245128 A245129

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 12 2014

STATUS

approved

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Last modified January 16 15:31 EST 2019. Contains 319195 sequences. (Running on oeis4.)