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A073568
Number of anti-divisors of n divides the number of divisors of n.
1
3, 4, 5, 6, 8, 12, 20, 24, 32, 40, 44, 50, 60, 72, 80, 84, 96, 144, 156, 162, 180, 192, 208, 224, 240, 244, 272, 288, 312, 316, 336, 396, 404, 420, 432, 464, 480, 512, 516, 524, 596, 624, 648, 684, 704, 736, 804
OFFSET
1,1
COMMENTS
See A066272 for definition of anti-divisor.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
MATHEMATICA
atQ[n_] := Divisible[DivisorSigma[0, n], Count[Flatten[Quotient[#, Rest[Select[Divisors[#], OddQ]]] & /@ (2 n + Range[-1, 1])], Except[1]]]; Select[Range[3, 805], atQ] (* Jayanta Basu, Jul 01 2013 *)
PROG
(PARI) ad(n)=numdiv(2*n+1)+numdiv(2*n-1)+numdiv(n>>valuation(n, 2))-5
is(n)=n>2 && numdiv(n)%ad(n)==0 \\ Charles R Greathouse IV, Jul 01 2013
CROSSREFS
Sequence in context: A376601 A288819 A087743 * A094576 A103103 A217347
KEYWORD
nonn
AUTHOR
Jason Earls, Aug 31 2002
STATUS
approved