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A074372 1 + the sum of the distinct primes dividing n. 3
1, 3, 4, 3, 6, 6, 8, 3, 4, 8, 12, 6, 14, 10, 9, 3, 18, 6, 20, 8, 11, 14, 24, 6, 6, 16, 4, 10, 30, 11, 32, 3, 15, 20, 13, 6, 38, 22, 17, 8, 42, 13, 44, 14, 9, 26, 48, 6, 8, 8, 21, 16, 54, 6, 17, 10, 23, 32, 60, 11, 62, 34, 11, 3, 19, 17, 68, 20, 27, 15, 72, 6, 74, 40, 9, 22, 19, 19, 80, 8 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Neville Holmes, Integer Sequences

EXAMPLE

2: 3 (1+2); 3: 4 (1+3); 4: 3 (1+2); 5: 6 (1+5); 6: 6 (1+2+3); ...

MAPLE

with(numtheory): a:=proc(n) local F: F:=convert(factorset(n), list): 1+sum(F[j], j=1..nops(F)) end: seq(a(n), n=1..90); (Deutsch)

MATHEMATICA

Rest[ Range[0, 20] CoefficientList[ Log[E, Series[(1/(1 - x)) Product[ 1/(1 - x^Prime[j]), {j, 200}], {x, 0, 20}]], x]] (* Robert G. Wilson v, Aug 16 2011 *)

CROSSREFS

Equals 1 + A008472.

Cf. A001414, A008472, A036288.

Sequence in context: A005092 A136195 A117892 * A049276 A101684 A061800

Adjacent sequences:  A074369 A074370 A074371 * A074373 A074374 A074375

KEYWORD

easy,nonn

AUTHOR

Neville Holmes (neville.holmes(AT)utas.edu.au), Aug 22 2002

EXTENSIONS

Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 12 2005

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Last modified February 16 19:48 EST 2012. Contains 205955 sequences.