

A373091


Coefficients of the power series expansion at p=1 of the time constant C(3,p) for last passage percolation on the complete directed acyclic graph, where the edges' weights are equal to 1 or 3 with respective probabilities p and 1p.


4



1, 1, 1, 3, 7, 15, 29, 54, 102, 197, 375, 687, 1226, 2182, 3885, 6827, 11757, 19920, 33339, 55012, 88980, 140141, 213535, 311997, 428578, 527659, 506451, 118728, 1180673, 4546846, 12344870, 29279209, 64481947, 135339292, 274463246, 542210697, 1048748528, 1992459450
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OFFSET

0,4


COMMENTS

C(3,p) is also the speed of the front for an interacting particle system with 4 bins, which corresponds to the particular case of the maxgrowth system where the probability distribution has two atoms 1 and 3 with respective probabilities p and 1p.
The first 15 coefficients of this sequence coincide with the first 15 coefficients of A321309.


LINKS



EXAMPLE

C(3,x) = 1 + x + x^2 + 3*x^3 + 7*x^4 + 15*x^5 + ...


CROSSREFS



KEYWORD

sign


AUTHOR



STATUS

approved



