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Search: id:A007445
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| A007445 |
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Inverse Moebius transform of primes.
(Formerly M1335)
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+0
8
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| 2, 5, 7, 12, 13, 23, 19, 31, 30, 45, 33, 67, 43, 65, 65, 84, 61, 107, 69, 123, 97, 115, 85, 175, 110, 147, 133, 179, 111, 223, 129, 215, 175, 203, 179, 302, 159, 235, 215, 315, 181, 337, 193, 315, 285, 287, 213, 451, 246, 371, 299, 393, 243, 461, 301, 461, 343
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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N. J. A. Sloane, Transforms
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FORMULA
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a(n) = Sum_{d|n} prime(d)
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EXAMPLE
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a(6)=23 because the divisors of 6 are: 1, 2, 3 and 6; and prime(1) + prime(2) + prime(3) + prime(6) = 2 + 3 + 5 + 13 = 23.
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PROGRAM
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(PARI) je=[]; for(n=1, 150, je=concat(je, sumdiv(n, d, prime(d)))); j
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CROSSREFS
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Sequence in context: A168031 A039679 A088823 this_sequence A159699 A063217 A088821
Adjacent sequences: A007442 A007443 A007444 this_sequence A007446 A007447 A007448
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jul 08 2001
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