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A245752
Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 7.
2
3, 23, 114, 474, 1780, 6179, 20363, 64441, 197653, 591131, 1732165, 4989933, 14171244, 39760411, 110402589, 303808762, 829504935, 2249326273, 6062516975, 16252409052, 43361162336, 115191492778, 304834916107, 803891596292, 2113302899765, 5539657831304
OFFSET
25,1
LINKS
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, 7$2) -b(n-1$2, 6$2):
seq(a(n), n=25..60);
CROSSREFS
Column k=7 of A244523.
Sequence in context: A225671 A267816 A269235 * A290367 A006557 A362158
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jul 31 2014
STATUS
approved