OFFSET
0,1
COMMENTS
a(n) = frequency of values n in A024816(m), where A024816(m) = sum of non-divisors of m = antisigma(m).
From Charles R Greathouse IV, Nov 11 2013: (Start)
So far all n such that a(n) > 1 correspond to members of A067816:
a(0) = 2 from 1, 2;
a(9) = 2 from 5, 6;
a(36844389) = 2 from 8585, 8586;
a(129894940) = 2 from 16119, 16120;
a(446591224981504) = 2 from 29886159, 29886160.
I checked this, and thus Krizek's conjecture below, up to 4*10^19.
(End)
FORMULA
Conjecture: max a(n) = 2.
Conjecture: a(n) = 2 iff n is number from A225775 (0, 9, 36844389, 129894940, 446591224981504, …)
EXAMPLE
a(9) = 2 because there are two numbers m (5, 6) with antisigma(m) = 9.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Nov 09 2013
STATUS
approved