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Search: id:A158924
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| A158924 |
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Number of prime powers - 1 in interval (A158923(n-1), A158923(n)] expressing the excess or deficit relative to the asymptotic average of 1. |
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+0
3
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| 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, 1, 0, -1, 0, 2, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, -1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 1, 0
(list; graph; listen)
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OFFSET
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1,37
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COMMENT
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The first interval is assumed to be (1, A158923(1)].
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LINKS
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Daniel Forgues, Table of n, a(n) for n=1..9696
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CROSSREFS
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Cf. A158923 a(1) = 2, a(n) = a(n-1) + rnd(ln(a(n-1))), n >= 2, for which each (a(n-1), a(n)] interval asymptotically contains one prime power on average.
Cf. A158925 Accumulated excess or deficit of prime powers in (1, A158924(n)], (Partial sums of A158924). [From Daniel Forgues (squid(AT)zensearch.com), Apr 21 2009]
Contribution from Daniel Forgues (squid(AT)zensearch.com), May 08 2009: (Start)
Cf. A000961 Prime powers p^k (p prime, k >= 0).
Cf. A025528 Number of prime powers <= n with exponents >0. (End)
Sequence in context: A154469 A022902 A037273 this_sequence A025426 A053200 A050870
Adjacent sequences: A158921 A158922 A158923 this_sequence A158925 A158926 A158927
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KEYWORD
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sign
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AUTHOR
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Daniel Forgues (squid(AT)zensearch.com), Mar 31 2009
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EXTENSIONS
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Corrected and edited by Daniel Forgues (squid(AT)zensearch.com), Apr 21 2009
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