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Number of numbers m such that the sum of the anti-divisors of m is n+1.
2

%I #7 Oct 14 2023 21:39:35

%S 0,1,1,1,1,0,0,2,0,1,0,1,1,2,0,1,0,2,1,0,0,1,1,3,0,0,0,2,0,1,0,1,0,1,

%T 0,2,0,0,1,1,1,3,0,0,0,2,0,1,0,1,0,3,0,1,1,3,1,3,0,1,0,0,0,2,0,1,0,0,

%U 0,1,0,1,0,2,0,1,0,2,0,1,0,0,0,2,0,2,0,2

%N Number of numbers m such that the sum of the anti-divisors of m is n+1.

%C See A066272 for definition of anti-divisor.

%H Jon Perry, <a href="http://www.users.globalnet.co.uk/~perry/maths">Anti-divisor</a>

%H Jon Perry, <a href="/A066272/a066272a.html">The Anti-divisor</a> [Cached copy]

%H Jon Perry, <a href="/A066272/a066272.html">The Anti-divisor: Even More Anti-Divisors</a> [Cached copy]

%e 8 has anti-divisors 1, 3 and 5, whose sum is 9 and 9 has anti-divisors 1, 2 and 6, whose sum is 9 and there are no others. Therefore a(8)=2.

%Y Cf. A066417, A066418, A058838, A066241.

%K nonn

%O 1,8

%A _Jon Perry_, Dec 28 2001