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A073957 Indices of records of the sum of the anti-divisors function. 1

%I

%S 1,3,4,5,7,10,13,17,22,25,27,28,32,38,45,52,58,60,63,67,77,94,95,105,

%T 112,115,122,130,137,143,157,158,175,193,203,238,247,270,280,292,297,

%U 315,347,357,410,423,445,462,472,473,500,553,578,630,637,675,682,742

%N Indices of records of the sum of the anti-divisors function.

%C See A066272 for definition of anti-divisor.

%H Amiram Eldar, <a href="/A073957/b073957.txt">Table of n, a(n) for n = 1..1000</a>

%p with(numtheory);

%p P:= proc(n)

%p local a,b,i,k;

%p b:=0;

%p for i from 3 to n do

%p a:=0;

%p for k from 2 to i-1 do

%p if abs((i mod k)- k/2) < 1 then a:=a+k; fi;

%p od;

%p if a>b then print(i); b:=a; fi;

%p od;

%p end:

%p P(1000); # _Paolo P. Lava_, Jul 19 2011

%Y Cf. A066272, A066417.

%K nonn

%O 1,2

%A _Jason Earls_, Sep 03 2002

%E Name clarified by _Amiram Eldar_, Jan 12 2020

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Last modified February 21 05:23 EST 2020. Contains 332086 sequences. (Running on oeis4.)