A064612 Partial sum of bigomega is divisible by n, where bigomega(n)=A001222(n) and summatory-bigomega(n)=A022559(n).

1, 4, 5, 2178, 416417176, 416417184, 416417185, 416417186, 416417194, 416417204, 416417206, 416417208, 416417213, 416417214, 416417231, 416417271, 416417318, 416417319, 416417326, 416417335, 416417336, 416417338, 416417339, 416417374

Offset

1,2

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.

a(25) > 10^13. - Giovanni Resta, Apr 25 2017

Links

Table of n, a(n) for n=1..24.

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: A309071 A270975 A058916 * A299639 A244444 A231407

Adjacent sequences: A064609 A064610 A064611 * A064613 A064614 A064615

Keyword

nonn

Author

Labos Elemer, Sep 24 2001

Extensions

a(5)-a(24) from Donovan Johnson, Nov 15 2009

Status

approved