Search: id:A146753
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%I A146753
%S A146753 1,10,110,1870,8602,249458,1247290,51138890,218502530,2316126818,
%T A146753 136651482262,136651482262,570720896506,6277929861566,521068178509978,
%U A146753 46375067887388042,2016307299451654,203647037244617054
%N A146753 a(n)=denominator of k_n such that Integrate[(1+x^(3n))/Sqrt[1-x^3],{x,
               0,1}]= k_n*(Gamma[1/3]^3)/(2^(1/3)Sqrt[3]Pi) where n=0,1,2,...
%C A146753 General formula (*Artur Jasinski*): Integrate[(1+x^(3n))/Sqrt[1-x^3],
               {x,0,1}] = G_3 * k_n =
%C A146753 G_3*A146751(n)/A146752(n) = A118292*A146751(n)/A146752(n
%C A146753 where G_3 = (Gamma[1/3]^3)/(2^(1/3)Sqrt[3]Pi)
%C A146753 For constant G_3 see A118292
%C A146753 For numerators of k_n see A146752
%F A146753 a(n)=Denominator[(1/2) (1 + Product[(2 (1 + 3 k))/(5 + 6 k), {k, 0, n 
               - 1}]
%t A146753 Table[Denominator[(1/2) (1 + Product[(2 (1 + 3 k))/(5 + 6 k), {k, 0, 
               n - 1}])], {n, 0, 30}] (*Artur Jasinski*)
%Y A146753 A146752, A118292
%Y A146753 Sequence in context: A055530 A108487 A099883 this_sequence A020767 A036603 
               A092500
%Y A146753 Adjacent sequences: A146750 A146751 A146752 this_sequence A146754 A146755 
               A146756
%K A146753 nonn
%O A146753 0,2
%A A146753 Artur Jasinski (grafix(AT)csl.pl), Nov 01 2008

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