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Search: id:A058290
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| A058290 |
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Difference between 10^n/(Ln (10^n) - 1.08366) and Pi(10^n). |
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+0
3
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| -1, 4, 3, 4, 2, -4, 45, 561, 6549, 69985, 690493, 6545056, 60615397, 555560046, 5070271362, 46223804313, 421692578206, 3853431791690, 35289854434775, 323979090116197, 2981921009910364, 27516571651291205, 254562416350667928
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Jan Gullberg, "Mathematics, From the Birth of Numbers," W.W. Norton and Company, NY and London, 1997, page 81.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,23
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MATHEMATICA
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Table[ Round[ 10^n /(Log[10^n] - 1.08366) - PrimePi[10^n] ], {n, 0, 13} ]
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PROGRAM
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(PARI) f(n)= { if (n==0, return(0)); if (n==1, return(4)); if (n==2, return(25)); if (n==3, return(168)); if (n==4, return(1229)); if (n==5, return(9592)); if (n==6, return(78498)); if (n==7, return(664579)); if (n==8, return(5761455)); if (n==9, return(50847534)); if (n==10, return(455052511)); if (n==11, return(4118054813)); if (n==12, return(37607912018)); if (n==13, return(346065536839)); if (n==14, return(3204941750802)); if (n==15, return(29844570422669)); if (n==16, return(279238341033925));
if (n==17, return(2623557157654233)); if (n==18, return(24739954287740860)); if (n==19, return(234057667276344607)); if (n==20, return(2220819602560918840)); if (n==21, return(21127269486018731928)); if (n==22, return(201467286689315906290)); if (n==23, return(1925320391606803968923)); return(0); } { default(realprecision, 100); t=log(10); for (n=0, 23, write("b058290.txt", n, " ", round(10^n/(n*t - 1.08366)) - f(n)); ); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 22 2009]
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CROSSREFS
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Cf. A006880, A057752, A057794, A057835, A058289.
Sequence in context: A143505 A161882 A082125 this_sequence A002285 A106049 A136627
Adjacent sequences: A058287 A058288 A058289 this_sequence A058291 A058292 A058293
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KEYWORD
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sign
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 07 2000
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EXTENSIONS
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More terms from Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 22 2009
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