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A220878 Number of Catalan M-paths. 0

%I

%S 1,2,11,75,578,4791,41657,374728,3458073,32553979,311399612,

%T 3018079529,29573648337,292494535982,2916080902215,29274765251531,

%U 295683573477358,3002574533715331,30636334463337153,313935121354840276,3229378471937953501,33336180648639258723

%N Number of Catalan M-paths.

%H J. P. S. Kung and A. de Mier, <a href="http://dx.doi.org/10.1016/j.jcta.2012.08.010">Catalan lattice paths with rook, bishop and spider steps</a>, Journal of Combinatorial Theory, Series A 120 (2013) 379-389.

%F Kung and de Mier give a g.f.

%p g := (3*t^2-t-1+sqrt(1-14*t+35*t^2-30*t^3+9*t^4))/4/t/(3*t-2) ;

%p taylor(%,t=0,40) ;

%p seq(coeftayl(%,t=0,n),n=0..39) ; # _R. J. Mathar_, Jan 30 2013

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Dec 27 2012

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Last modified July 28 19:33 EDT 2021. Contains 346335 sequences. (Running on oeis4.)