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A136797 Number of labeled marked trees with n nodes. 3

%I #11 Feb 02 2020 17:41:42

%S 2,8,96,2048,64000,2654208,137682944,8589934592,626913312768,

%T 52428800000000,4944974716076032,519400496868360192,

%U 60134924074807721984,7609328110443312447488,1044855521280000000000000,154742504910672534362390528,24588026787102364507838611456

%N Number of labeled marked trees with n nodes.

%C A marked tree is a tree where each node and edge is marked as + or -.

%D F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 293 (4.1.60).

%H Andrew Howroyd, <a href="/A136797/b136797.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>

%F a(n) = A136796(n)/n.

%F a(n) = 2^(2*n-1) * n^(n-2). - _Andrew Howroyd_, Feb 02 2020

%o (PARI) a(n) = {2^(2*n-1) * n^(n-2)} \\ _Andrew Howroyd_, Feb 02 2020

%Y Cf. A136796.

%K nonn

%O 1,1

%A _Christian G. Bower_, Jan 21 2008

%E Terms a(15) and beyond from _Andrew Howroyd_, Feb 02 2020

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)