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A064612
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Partial sum of bigomega is divisible by n, where bigomega(n)=A001222(n) and summatory-bigomega(n)=A022559(n).
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4
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1, 4, 5, 2178, 416417176, 416417184, 416417185, 416417186, 416417194, 416417204, 416417206, 416417208, 416417213, 416417214, 416417231, 416417271, 416417318, 416417319, 416417326, 416417335, 416417336, 416417338, 416417339, 416417374
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Analogous sequences for various arithmetical functions are A050226, A056650, A064605-A064607, A064610, A064611, A048290, A062982, A045345.
Partial sums of A001222, similarly to summatory A001221 increases like loglog(n), explaining small quotients.
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FORMULA
| Mod[A022559(n), n]=0
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EXAMPLE
| Sum of bigomega values from 1 to 5 is: 0+0+1+1+2+1=5, which is divisible by n=5, so 5 is here, with quotient=1. For the last value,2178,below 1000000 the quotient is only 3.
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CROSSREFS
| A001222, A022559, A050226, A056650, A064602-A064611, A048290, A062982, A045345.
Sequence in context: A042717 A134463 A058916 * A005927 A201529 A079207
Adjacent sequences: A064609 A064610 A064611 * A064613 A064614 A064615
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Sep 24 2001
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EXTENSIONS
| a(5)-a(24) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 15 2009
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