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%I #13 Jan 30 2020 21:29:18
%S 0,0,3,19,106,564,2935,15091,77037,391433,1982573,10018605,50541372,
%T 254637294,1281605541,6445146105,32390909850,162695554860,
%U 816825463045,4099345475605,20566288883610,103150972979000,517229100535265,2592974460838005,12996619961409245,65131180719470549,326348682636203655,1634993474319839431
%N Sum of the areas of all L-elevated skew paths of semi-length n.
%H Emeric Deutsch, Emanuele Munarini, Simone Rinaldi, <a href="http://dx.doi.org/10.1016/j.jspi.2009.12.013">Skew Dyck paths, area, and superdiagonal bargraphs</a>, Journal of Statistical Planning and Inference, Vol. 140, Issue 6, June 2010, pp. 1550-1562.
%F g.f.: (1-10*x+13*x^2-(1-7*x)*sqrt(1-6*x+5*x^2))/2/(5*x-1) .
%F D-finite with recurrence: n*(n+3)*a(n) +(-11*n^2-24*n+55)*a(n-1) +5*(7*n^2+9*n-71)*a(n-2) -25*(n-4) *(n+4)*a(n-3)=0.
%p g := (1-10*x+13*x^2-(1-7*x)*sqrt(1-6*x+5*x^2))/2/(5*x-1) ;
%p taylor(g,x=0,40) ;
%p gfun[seriestolist](%) ;
%K nonn,easy
%O 0,3
%A _R. J. Mathar_, Jun 21 2018
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