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A093492
Define the divisor symmetry of a number n to be k if n-r and n+r have the same number of divisors for r = 1 to k but not for k+1. Sequence contains the divisor symmetry of n.
7
0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0
OFFSET
1,9
COMMENTS
Subsidiary sequence: Index of the first occurrence of n in this sequence.
Is this sequence bounded? Through n = 20000, a(432)=6 is the only value greater than 4. - Franklin T. Adams-Watters, May 12 2006
I conjecture that the sequence is unbounded. [Charles R Greathouse IV, Dec 19 2011]
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Apr 16 2004
EXTENSIONS
More terms from Franklin T. Adams-Watters, May 12 2006
STATUS
approved