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Search: id:A063754
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| A063754 |
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Dirichlet convolution of totient and cototient. |
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+0
1
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| 0, 1, 1, 3, 1, 7, 1, 8, 5, 11, 1, 20, 1, 15, 13, 20, 1, 31, 1, 32, 17, 23, 1, 52, 9, 27, 21, 44, 1, 71, 1, 48, 25, 35, 21, 88, 1, 39, 29, 84, 1, 99, 1, 68, 61, 47, 1, 128, 13, 83, 37, 80, 1, 123, 29, 116, 41, 59, 1, 200, 1, 63, 81, 112, 33, 155, 1, 104, 49, 159, 1, 228, 1, 75, 101
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n)= Sum{A000010(d)*A051953(n/d)}, d runs over divisors of n.
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EXAMPLE
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n = 24: divisors = {1, 2, 3, 4, 6, 8, 12, 24}, d-Phi[d] = {0, 1, 1, 2, 4, 4, 8, 16}, Phi[n/d] = {8, 4, 4, 2, 2, 2, 1, 1}, products = {0, 4, 4, 4, 8, 8, 8, 16}, a(24) = 52.
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CROSSREFS
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A000005, A051953, A029935.
Sequence in context: A117677 A038870 A140435 this_sequence A099749 A077202 A086665
Adjacent sequences: A063751 A063752 A063753 this_sequence A063755 A063756 A063757
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KEYWORD
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easy,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 14 2001
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