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Search: id:A163180
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| A163180 |
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tau(n) plus sum_{k=1..n} (n mod k). |
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+0
2
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| 1, 2, 3, 4, 6, 7, 10, 12, 15, 17, 24, 23, 30, 35, 40, 41, 53, 53, 66, 67, 74, 81, 100, 93, 106, 116, 129, 130, 153, 146, 169, 173, 188, 201, 222, 207, 235, 252, 273, 266, 299, 292, 327, 334, 345, 362, 405, 384, 417, 426, 453, 460, 507, 500, 533, 528, 557, 582, 637, 598, 647
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Number of divisors of n plus the sum of all the remainders modulo the numbers below n.
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FORMULA
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a(n) = A000005(n)+A004125(n).
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EXAMPLE
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a(1)=1+0=1, a(2)=2+0=2, a(3)=2+1=3, a(4)=3+1=4, a(5)=2+4=6.
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MAPLE
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A004125 := proc(n) add( modp(n, k), k=2..n) ; end: A163180 := proc(n) numtheory[tau](n)+A004125(n) ; end: seq(A163180(n), n=1..80) ; # R. J. Mathar, Jul 27 2009
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CROSSREFS
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Cf. A000005, A004125.
Sequence in context: A099523 A049806 A158381 this_sequence A091515 A036405 A051424
Adjacent sequences: A163177 A163178 A163179 this_sequence A163181 A163182 A163183
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 22 2009
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EXTENSIONS
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169 inserted by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 27 2009
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