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Search: id:A053571
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| A053571 |
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Sum of totient functions over arguments running through numbers unrelated to n. |
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+0
5
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| 0, 0, 0, 0, 0, 2, 0, 2, 2, 8, 0, 14, 0, 16, 16, 16, 0, 36, 0, 38, 32, 44, 0, 68, 20, 62, 40, 78, 0, 136, 0, 80, 82, 110, 78, 170, 0, 138, 116, 190, 0, 264, 0, 192, 198, 204, 0, 310, 66, 294, 196, 272, 0, 398, 182, 358, 248, 328, 0, 584, 0, 372, 372, 372, 248, 658, 0, 468
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OFFSET
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1,6
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COMMENT
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Phi-summation over numbers not exceeding n are given in A002088, over divisor-set of n would give n, over RRS or unrelated numbers to n give newer values: at n=36 these values are {396,36,191,170}. This is a further way of Phi-summation.
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EXAMPLE
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n=36 and its "unrelated-set" is {8,10,14,15,16,20,21,22,24,26,27,28,30,32,33,34} and their totients are {4,4,6,8,8,8,12,10,8,12,18,12,8,16,20,16}. The sum of these values is 170, so a(36)=170. For primes the unrelated set is empty and Phi-sum over empty set is 0.
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CROSSREFS
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A000010, A002088, A045763.
Adjacent sequences: A053568 A053569 A053570 this_sequence A053572 A053573 A053574
Sequence in context: A078052 A056458 A046277 this_sequence A129883 A098489 A128064
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu) Jan 17 2000
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