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Search: id:A111060
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| A111060 |
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a(n) = sum of primes dividing the n-th squarefree positive integer. |
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+0
1
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| 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)
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OFFSET
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1,2
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FORMULA
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a(n) = A008472(A005117(n)) = A001414(A005117(n))
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EXAMPLE
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Since the 5th squarefree positive integers is 6 = 2*3, the 5th term of the sequence is 2 + 3 = 5.
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PROGRAM
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(PARI) {for(n=1, 113, if(issquarefree(n), f=factor(n)[, 1]; print1(sum(j=1, length(f), f[j]), ", ")))}
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CROSSREFS
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Cf. A005117, A008472, A001414.
Sequence in context: A082048 A113459 A123318 this_sequence A082432 A037153 A077724
Adjacent sequences: A111057 A111058 A111059 this_sequence A111061 A111062 A111063
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Oct 07 2005
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 08 2005
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