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A111060 a(n) = sum of primes dividing the n-th squarefree positive integer. +0
1
0, 2, 3, 5, 5, 7, 7, 11, 13, 9, 8, 17, 19, 10, 13, 23, 15, 29, 10, 31, 14, 19, 12, 37, 21, 16, 41, 12, 43, 25, 47, 20, 53, 16, 22, 31, 59, 61, 33, 18, 16, 67, 26, 14, 71, 73, 39, 18, 18, 79, 43, 83, 22, 45, 32, 89, 20, 34, 49, 24, 97, 101, 22, 103, 15, 55, 107, 109, 18, 40, 113 (list; graph; listen)
OFFSET

1,2

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

FORMULA

a(n) = A008472(A005117(n)) = A001414(A005117(n))

EXAMPLE

Since the 5th squarefree positive integers is 6 = 2*3, the 5th term of the sequence is 2 + 3 = 5.

PROGRAM

(PARI) {for(n=1, 113, if(issquarefree(n), f=factor(n)[, 1]; print1(sum(j=1, length(f), f[j]), ", ")))}

CROSSREFS

Cf. A005117, A008472, A001414.

Sequence in context: A113459 A159477 A123318 this_sequence A082432 A037153 A077724

Adjacent sequences: A111057 A111058 A111059 this_sequence A111061 A111062 A111063

KEYWORD

nonn

AUTHOR

Leroy Quet Oct 07 2005

EXTENSIONS

More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 08 2005

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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