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A101488 Number of naturally embedded binary trees with n nodes that have no label greater than 0. 1
1, 1, 1, 2, 4, 10, 26, 73, 213, 645, 2007, 6391, 20741, 68407, 228753, 774162, 2647548, 9138342, 31802118, 111489492, 393442848, 1396771812, 4985732628, 17884908282, 64449398994, 233220788850, 847211744806, 3088649627798 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
M. Bousquet-Mélou, Limit laws for embedded trees, arXiv:math/0501266 [math.CO], 2005.
FORMULA
G.f.: ((1-4z)^(3/2)-1+8z-2z^2)/(2z(1+z)).
MATHEMATICA
CoefficientList[((1-4z)^(3/2)-1+8z-2z^2)/(2z(1+z)) + O[z]^28, z] (* Jean-François Alcover, Jul 25 2018 *)
CROSSREFS
First row of array A101489.
Sequence in context: A148098 A210043 A049130 * A279544 A245898 A230662
KEYWORD
nonn
AUTHOR
Ralf Stephan, Jan 21 2005
STATUS
approved

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Last modified May 18 02:52 EDT 2024. Contains 372617 sequences. (Running on oeis4.)