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A056098 Minimum value in the distribution by first value of Prufer code of noncrossing spanning trees on a circle of n+2 points. 1
1, 2, 5, 17, 68, 267, 1230, 5564, 27575, 136644, 714772, 3743265, 20353789, 110723361, 619347223, 3464770044, 19801412122, 113178582936 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

COMMENTS

Total in distribution is # t_n of ternary trees and one can prove first and last values in each distribution is t_{n-1}. Maximum appears to occur at 2, minimum near end; perhaps monotone between first, max, min, last. Distributions of Prufer code initial values, starting with 3 points: [1,1,1], [3,4,2,3], [12,17,9,5,12], [55,80,44,22,17,55], [273,403,227,112,68,72,273], [1428,2128,1218,613,335,267,345,1428].

First 200 values (n=3 to 202) of min occur at k=floor((n+5)/2); first 200 values of max (series A056096) occur at k=2.

LINKS

Table of n, a(n) for n=3..20.

EXAMPLE

There are 12 noncrossing spanning trees on a circle of 4 points. The first values of their Prufer codes have distribution [3,4,2,3], e.g. 3 start with 1, 4 with 2, 2 with 3 and 3 with 4. The minimum value is a(4) = 2.

CROSSREFS

Cf. A056096.

Sequence in context: A054769 A003510 A051625 * A239201 A027361 A101971

Adjacent sequences:  A056095 A056096 A056097 * A056099 A056100 A056101

KEYWORD

nonn

AUTHOR

David S. Hough (hough(AT)gwu.edu), Aug 04 2000

STATUS

approved

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Last modified August 9 16:21 EDT 2022. Contains 356026 sequences. (Running on oeis4.)