Search: id:A086871
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%I A086871
%S A086871 1,2,10,58,370,2514,17850,130890,983650,7536418,58648810,462306266,
%T A086871 3683602130,29620138994,240059315610,1958940281322,16081662931650,
%U A086871 132723191430210,1100568370427850,9164925012016506,76612776253995570
%N A086871 Row sums of A059450.
%C A086871 Hankel transform is A165928. [From Paul Barry (pbarry(AT)wit.ie), Sep 
               30 2009]
%D A086871 C. Coker, Enumerating a class of lattice paths, Discrete Math., 271 (2003), 
               13-28.
%F A086871 G.f.: (1-x-sqrt((1-x)(1-9x)))/(4x)=2/(1+sqrt((1-9x)/(1-x)))=y satisfies 
               0=(1-x)(1-y)+2xy^2. - Michael Somos Mar 06 2004
%F A086871 Moment representation: a(n)=(1/(4*pi))*Int(x^n*sqrt(-x^2+10x-9)/x,x,1,
               9)+(1/2)*0^n [From Paul Barry (pbarry(AT)wit.ie), Sep 30 2009]
%o A086871 (PARI) a(n)=if(n<0,0,polcoeff(2/(1+sqrt((1-9*x)/(1-x)+x*O(x^n))),n)) 
               - Michael Somos Mar 06 2004
%o A086871 (PARI) a(n)=if(n<1,n==0,n++;2*polcoeff(serreverse(x*(1-4*x)/(1-3*x)+x*O(x^n)),
               n)) - Michael Somos Mar 06 2004
%Y A086871 2*A059231(n)=a(n), if n>0.
%Y A086871 Sequence in context: A093303 A075870 A074608 this_sequence A108450 A112369 
               A124964
%Y A086871 Adjacent sequences: A086868 A086869 A086870 this_sequence A086872 A086873 
               A086874
%K A086871 nonn,easy
%O A086871 0,2
%A A086871 N. J. A. Sloane (njas(AT)research.att.com), Sep 16 2003
%E A086871 More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 17 
               2003

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