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A273725
Number of quaternary heaps on n levels (i.e., of (4^n-1)/3 elements).
3
1, 1, 24, 3892643213082624
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OFFSET
0,3
COMMENTS
a(n) is also the number of labeled histories for a fully symmetric quadfurcating labeled topology with 4^n leaves. -
Noah A Rosenberg
, Feb 24 2025
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 0..5
E. H. Dickey, N. A. Rosenberg,
Labelled histories with multifurcation and simultaneity
, Phil. Trans. R. Soc. B 380 (2025), 20230307.
Wikipedia,
D-ary heap
FORMULA
a(n) =
A178009
(
A002450
(n)).
CROSSREFS
Column k=4 of
A273712
.
Cf.
A002450
,
A178009
.
Sequence in context:
A297424
A013910
A007458
*
A072244
A067669
A068741
Adjacent sequences:
A273722
A273723
A273724
*
A273726
A273727
A273728
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, May 28 2016
STATUS
approved