

A283103


Number of A'Campo forests of degree n and codimension 5.


2



0, 0, 0, 4, 1380, 75600, 2340744, 54275296, 1055436228, 18230184752, 289150871152, 4300858168200, 60843411796440
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OFFSET

1,4


COMMENTS

a(n) is the number of A'Campo forests of degree n and of codimension 5.


REFERENCES

P. Flajolet and R. Sedgewick, Analytic Combinatorics, Cambridge University Press (2009).


LINKS

Table of n, a(n) for n=1..13.
N. Combe, V. JugĂ©, Counting bicolored A'Campo forests, arXiv:1702.07672 [math.AG], 2017.


FORMULA

a(n) is obtained by using the generating function N_{1} =1+yN_{2}^4 and (1N_{2} +2yN_{2}^4 yN_{2}^{5} +xyN_{2}^{6} +y^{2}N_{2}^{8})(1+yN_{2}^{4}xyN_{2}^{5})+x^3y^{2}N_{2}^{9} =0, where N_{1}(x,y)=\sum_{n}N_{1}'(5,n)x^{5}y^{n} and N_{1}'(5,n) is the number of A'Campo forests with codimension 5; N_{2}(x,y)=\sum_{n}N_{2}'(5,n)x^{5}y^{n} where N_{2}'(5,n) is the number of partial configurations.


EXAMPLE

For n<4, the number of A'Campo forests of degree n and codimension 5 is zero.
For n = 4 the number of A'Campo forests of codimension 5 is 4.


CROSSREFS

Cf. A283101, A283102, A283049, A277877.
Sequence in context: A172925 A167071 A274296 * A278844 A036107 A201390
Adjacent sequences: A283100 A283101 A283102 * A283104 A283105 A283106


KEYWORD

nonn


AUTHOR

Noemie Combe, Feb 28 2017


EXTENSIONS

Added crossrefs


STATUS

approved



