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A158923
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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.
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3
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2, 3, 4, 5, 7, 9, 11, 13, 16, 19, 22, 25, 28, 31, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Daniel Forgues, Table of n, a(n) for n=1..100000
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CROSSREFS
| Contribution from Daniel Forgues (squid(AT)zensearch.com), Apr 21 2009: (Start)
Cf. A158924 Number of prime powers - 1 in interval (A158923(n-1), A158923(n)] expressing the excess or deficit relative to the asymptotic average of 1.
Cf. A158925 Accumulated excess or deficit of prime powers in (1, A158924(n)], (Partial sums of A158924). (End)
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: A084400 A050376 A050198 * A008740 A089651 A063487
Adjacent sequences: A158920 A158921 A158922 * A158924 A158925 A158926
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KEYWORD
| nonn
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AUTHOR
| Daniel Forgues (squid(AT)zensearch.com), Mar 30 2009
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