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a(n) = 2*(K(n,2)*I(4,2) - (-1)^n*I(n,2)*K(4,2)) where I(n,x) and K(n,x) are Bessel functions.
0

%I #4 Sep 14 2014 03:42:52

%S -10,7,-3,1,0,1,5,31,222,1807,16485,166657,1849712,22363201,292571325,

%T 4118361751,62067997590,997206323191,17014575491837,307259565176257,

%U 5854946313840720,117406185841990657,2471384848995644517,54487872863746170031,1255692460715157555230

%N a(n) = 2*(K(n,2)*I(4,2) - (-1)^n*I(n,2)*K(4,2)) where I(n,x) and K(n,x) are Bessel functions.

%F a(n) = a(-n).

%F a(n+4) = A058309(n).

%p a := n -> 2*(BesselK(n,2)*BesselI(4,2)-(-1)^n*BesselI(n,2)* BesselK(4,2)); seq(round(evalf(a(n), 99)), n=0..24);

%Y Cf. A058309.

%K sign

%O 0,1

%A _Peter Luschny_, Sep 12 2014