

A058838


a(n) = 1 + sum of the antidivisors of n.


6



1, 1, 3, 4, 6, 5, 11, 9, 9, 15, 13, 14, 20, 17, 19, 15, 29, 29, 19, 25, 23, 37, 35, 24, 40, 25, 43, 47, 25, 37, 43, 59, 49, 31, 53, 33, 51, 71, 53, 56, 42, 67, 57, 41, 87, 59, 61, 57, 73, 81, 43, 95, 89, 53, 75, 57, 75, 97, 91, 108, 58, 79, 113, 47, 85
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OFFSET

1,3


COMMENTS

See A066272 for definition of antidivisor.


LINKS

Table of n, a(n) for n=1..65.
Jon Perry, Antidivisors [Broken link]
Jon Perry, The Antidivisor [Cached copy]
Jon Perry, The Antidivisor: Even More AntiDivisors [Cached copy]


FORMULA

a(n) = A066417(n) + 1.


EXAMPLE

Consider n = 18: 2n1, 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 antidivisors of 18 are 4, 5, 7, 12. Therefore a(18) = 1 + 28 = 29.


CROSSREFS

Cf. A066417, A066241, A066452.
Sequence in context: A083342 A016655 A057757 * A001177 A053991 A276814
Adjacent sequences: A058835 A058836 A058837 * A058839 A058840 A058841


KEYWORD

nonn


AUTHOR

Jon Perry, Dec 28 2001


STATUS

approved



