|
Search: id:A007445
|
|
|
| A007445 |
|
Inverse Moebius transform of primes.
(Formerly M1335)
|
|
+0
8
|
|
| 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)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
N. J. A. Sloane, Transforms
|
|
FORMULA
|
a(n) = Sum_{d|n} prime(d)
|
|
EXAMPLE
|
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.
|
|
PROGRAM
|
(PARI) je=[]; for(n=1, 150, je=concat(je, sumdiv(n, d, prime(d)))); j
|
|
CROSSREFS
|
Sequence in context: A131102 A039679 A088823 this_sequence A159699 A063217 A088821
Adjacent sequences: A007442 A007443 A007444 this_sequence A007446 A007447 A007448
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jul 08 2001
|
|
|
Search completed in 0.002 seconds
|
