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A093492
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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.
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7
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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
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OFFSET
| 1,9
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COMMENTS
| Subsidiary sequence: Indices 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. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 12 2006
I conjecture that the sequence is unbounded. [Charles R Greathouse IV, Dec 19 2011]
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LINKS
| Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
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CROSSREFS
| Cf. A202463, A093493, A093494, A093488, A093491.
Sequence in context: A109983 A193033 A193531 * A128771 A139380 A000122
Adjacent sequences: A093489 A093490 A093491 * A093493 A093494 A093495
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 16 2004
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EXTENSIONS
| More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 12 2006
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