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 A096354 Integer part of the fourth nesting of the logarithmic integral of 10^n. 0

%I

%S 2,4,9,19,51,177,747,3638,19691,115237,716530,4675989,31744547,

%T 222714791,1606590368,11868687555,89506353843,687275943030,

%U 5361745095952,42423407975227

%N Integer part of the fourth nesting of the logarithmic integral of 10^n.

%C m=4 in PARI below. With nesting level 7, z < 1 and Li(z) is not defined so an error occurs. This is why we take the absolute value of Li(z).

%F Let Li(n) = logarithmic integral of n. a(n) = Li(Li(Li(Li(n))))

%o (PARI) g(n,m) = for(x=1,n,z=10^x;for(y=1,m,z=abs(Li(z)));print1(floor(z)",")) Li(x) = { -eint1(log(1/x)) }

%K nonn

%O 1,1

%A Cino Hilliard (hillcino368(AT)gmail.com), Jun 30 2004

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