Search: id:A058838
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%I A058838
%S A058838 1,1,3,4,6,5,11,9,9,15,13,14,20,17,19,15,29,29,19,25,23,37,35,24,
%T A058838 40,25,43,47,25,37,43,59,49,31,53,33,51,71,53,56,42,67,57,41,87,
%U A058838 59,61,57,73,81,43,95,89,53,75,57,75,97,91,108,58,79,113,47,85
%N A058838 a(n) = 1 + sum of the anti-divisors of n.
%C A058838 See A066272 for definition of anti-divisor.
%H A058838 Jon Perry, <a href="http://www.users.globalnet.co.uk/~perry/maths">Anti-divisors</
               a> [Broken link]
%H A058838 Jon Perry, <a href="a066272a.html">The Anti-divisor</a> [Cached copy]
%H A058838 Jon Perry, <a href="a066272.html">The Anti-divisor: Even More Anti-Divisors</
               a> [Cached copy]
%e A058838 Consider n = 18: 2n-1, 2n, 2n+1 are 35, 36, 37 with odd divisors > 1 
               {5,7,35}, {3,9}, {37} respectively and quotients {7, 5, 1}, {12, 
               4}, {1}; so the anti-divisors of 18 are 4, 5, 7, 12. Therefore a(18) 
               = 1 + 28 = 29.
%Y A058838 Cf. A066417, A066241, A066452.
%Y A058838 Sequence in context: A083342 A016655 A057757 this_sequence A001177 A053991 
               A033957
%Y A058838 Adjacent sequences: A058835 A058836 A058837 this_sequence A058839 A058840 
               A058841
%K A058838 nonn
%O A058838 1,3
%A A058838 Jon Perry (perry(AT)globalnet.co.uk), Dec 28 2001

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