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Search: id:A034825
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| A034825 |
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Number of n-node rooted trees of height at most 8. |
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+0
3
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| 1, 1, 1, 2, 4, 9, 20, 48, 115, 286, 718, 1832, 4702, 12159, 31515, 81888, 212878, 553557, 1438741, 3737331, 9700188, 25156049, 65181067, 168746672, 436505846, 1128256918, 2914103577, 7521450053, 19400577711, 50010551503, 128841990772
(list; graph; listen)
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OFFSET
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0,4
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n=0..200
N. J. A. Sloane, Transforms
Index entries for sequences related to rooted trees
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FORMULA
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Take Euler transform of A034824 and shift right. (Christian G. Bower (bowerc(AT)usa.net)).
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MAPLE
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For Maple program see link in A000235.
with (numtheory): etr:= proc(p) local b; b:=proc(n) option remember; local d, j; if n=0 then 1 else add (add (d*p(d), d=divisors(j)) *b(n-j), j=1..n)/n fi end end: shr:= proc(p) n->`if`(n=0, 1, p(n-1)) end: b[0]:= etr(n->1): for j from 1 to 6 do b[j]:= etr (shr(b[j-1])) od: a:= shr(b[6]): seq (a(n), n=0..31); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 08 2008]
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CROSSREFS
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See A001383 for details.
Sequence in context: A036722 A034824 A145545 this_sequence A145546 A034826 A145547
Adjacent sequences: A034822 A034823 A034824 this_sequence A034826 A034827 A034828
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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