A244325 Floor(antisigma(n) / n), where antisigma(n) = A024816(n) = the sum of the non-divisors of n that are between 1 and n.

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 15, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 21, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 27, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34

Offset

1,7

Comments

a(36) is first term such that a(n) < a(n-1) - see A244326.

Links

Jaroslav Krizek, Table of n, a(n) for n = 1..10000

Example

For n=10: a(10) = floor(antisigma(10/10)) = floor(37/10)) = 3.

Prog

(Magma) [Floor((n*(n+1)div 2-SumOfDivisors(n))div n): n in [1..1000]]

Crossrefs

Cf. A024816, A244324, A244326.

Sequence in context: A320467 A086388 A111660 * A168050 A001057 A127365

Adjacent sequences: A244322 A244323 A244324 * A244326 A244327 A244328

Keyword

nonn

Author

Jaroslav Krizek, Jun 25 2014

Status

approved