cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A064612 #8 Apr 25 2017 07:40:26
%S A064612 1,4,5,2178,416417176,416417184,416417185,416417186,416417194,
%T A064612 416417204,416417206,416417208,416417213,416417214,416417231,
%U A064612 416417271,416417318,416417319,416417326,416417335,416417336,416417338,416417339,416417374
%N A064612 Partial sum of bigomega is divisible by n, where bigomega(n)=A001222(n) and summatory-bigomega(n)=A022559(n).
%C A064612 Analogous sequences for various arithmetical functions are A050226, A056650, A064605-A064607, A064610, A064611, A048290, A062982, A045345.
%C A064612 Partial sums of A001222, similarly to summatory A001221 increases like loglog(n), explaining small quotients.
%C A064612 a(25) > 10^13. - _Giovanni Resta_, Apr 25 2017
%F A064612 Mod[A022559(n), n]=0
%e A064612 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 A064612 A001222, A022559, A050226, A056650, A064602-A064611, A048290, A062982, A045345.
%K A064612 nonn
%O A064612 1,2
%A A064612 _Labos Elemer_, Sep 24 2001
%E A064612 a(5)-a(24) from _Donovan Johnson_, Nov 15 2009