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A064612 Partial sum of bigomega is divisible by n, where bigomega(n)=A001222(n) and summatory-bigomega(n)=A022559(n). 10

%I #8 Apr 25 2017 07:40:26

%S 1,4,5,2178,416417176,416417184,416417185,416417186,416417194,

%T 416417204,416417206,416417208,416417213,416417214,416417231,

%U 416417271,416417318,416417319,416417326,416417335,416417336,416417338,416417339,416417374

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

%C Analogous sequences for various arithmetical functions are A050226, A056650, A064605-A064607, A064610, A064611, A048290, A062982, A045345.

%C Partial sums of A001222, similarly to summatory A001221 increases like loglog(n), explaining small quotients.

%C a(25) > 10^13. - _Giovanni Resta_, Apr 25 2017

%F Mod[A022559(n), n]=0

%e 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.

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

%K nonn

%O 1,2

%A _Labos Elemer_, Sep 24 2001

%E a(5)-a(24) from _Donovan Johnson_, Nov 15 2009

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Last modified May 15 21:53 EDT 2024. Contains 372549 sequences. (Running on oeis4.)