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A064612 Partial sum of bigomega is divisible by n, where bigomega(n)=A001222(n) and summatory-bigomega(n)=A022559(n). +0
5
1, 4, 5, 2178 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

FORMULA

Mod[A022559(n), n]=0

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.

CROSSREFS

A001222, A022559, A050226, A056650, A064602-A064611, A048290, A062982, A045345.

Sequence in context: A042717 A134463 A058916 this_sequence A005927 A079207 A056945

Adjacent sequences: A064609 A064610 A064611 this_sequence A064613 A064614 A064615

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 24 2001

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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