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A096354 Integer part of the fourth nesting of the logarithmic integral of 10^n. +0
1
2, 4, 9, 19, 51, 177, 747, 3638, 19691, 115237, 716530, 4675989, 31744547, 222714791, 1606590368, 11868687555, 89506353843, 687275943030, 5361745095952, 42423407975227 (list; graph; listen)
OFFSET

1,1

COMMENT

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).

FORMULA

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

PROGRAM

(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)) }

CROSSREFS

Sequence in context: A000080 A153447 A076893 this_sequence A076838 A034749 A053024

Adjacent sequences: A096351 A096352 A096353 this_sequence A096355 A096356 A096357

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 14:46 EST 2009. Contains 167570 sequences.


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