%I A098444
%S A098444 1,3,19,117,771,5193,35629,247467,1734931,12250953,87006249,620818047,
%T A098444 4447016781,31959556983,230331965379,1664043517557,12047551338771,
%U A098444 87387014213433,634918255153369,4619923954541247,33661450900419001
%N A098444 Expansion of 1/sqrt(1-6x-11x^2).
%C A098444 Binomial transform of A084770. Second binomial transform of A098264. 
               Binomial transform is A098443.
%C A098444 Coefficient of x^n in (1 + 3 x + 5 x^2)^n = number of paths from the 
               origin to (n,0) with steps U=(1,1), H=(1,0) and D=(1,-1); U can have 
               5 colors and H can have 3 colors. - Nour-Eddine Fahssi (fahssin(AT)yahoo.fr), 
               Jan 28 2008
%D A098444 Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, 
               Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.
%F A098444 E.g.f.: exp(3x)BesselI(0, 2sqrt(5)x)
%Y A098444 Sequence in context: A037585 A084133 A005667 this_sequence A139176 A126809 
               A020073
%Y A098444 Adjacent sequences: A098441 A098442 A098443 this_sequence A098445 A098446 
               A098447
%K A098444 easy,nonn
%O A098444 0,2
%A A098444 Paul Barry (pbarry(AT)wit.ie), Sep 07 2004