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.

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

Cf. A202463, A093493, A093494, A093488, A093491.

Sequence in context: A318253 A249772 A193531 * A139380 A128771 A000122

Adjacent sequences: A093489 A093490 A093491 * A093493 A093494 A093495

Keyword

nonn

Author

Amarnath Murthy, Apr 16 2004

Extensions

More terms from Franklin T. Adams-Watters, May 12 2006

Status

approved