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A322713
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a(n) = numerator of the Riemann prime counting function for 10^n.
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2
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0, 16, 428, 445273, 56175529, 991892879, 18296822833013, 3559637526370229, 6427431691337929, 14804074778750628149, 9387415960571046321167, 594663752918349842404169, 200936708396848319452718531, 296345083061712053722716462103, 30189234512048649753828116713823
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = numerator of Sum_{k=1..floor(log_2(10^n))} pi(floor(10^(n/k)))/k, where pi(x) is the prime counting function A000720.
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EXAMPLE
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0, 16/3, 428/15, 445273/2520, 56175529/45045, 991892879/102960, 18296822833013/232792560, ...
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PROG
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(PARI) a(n) = numerator(sum(k=1, logint(10^n, 2), primepi(sqrtnint(10^n, k))/k));
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CROSSREFS
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The corresponding denominators are A322714.
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KEYWORD
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frac,nonn
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AUTHOR
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STATUS
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approved
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