A330695 Indices k at which record low values of the ratio A046530(k)/k occur.

1, 4, 7, 9, 27, 36, 63, 117, 171, 189, 252, 351, 468, 504, 756, 819, 1197, 1953, 2223, 2457, 3276, 3591, 4788, 5733, 6552, 9576, 9828, 14364, 15561, 25389, 30303, 35217, 37107, 44289, 46683, 62244, 76167, 90909, 101556, 108927, 124488, 186732, 296856, 304668

Offset

1,2

Comments

A046530(k) is the number of distinct cubic residues mod k.

Links

Table of n, a(n) for n=1..44.

Example

   n  a(n)=k   A046530(k)  ratio A046530(k)/k
  --  ------   ----------  ------------------
   1       1         1     1.0000000000000...
   2       4         3     0.7500000000000...
   3       7         3     0.4285714285714...
   4       9         3     0.3333333333333...
   5      27         7     0.2592592592592...
   6      36         9     0.2500000000000...
   7      63         9     0.1428571428571...
   8     117        15     0.1282051282051...
   9     171        21     0.1228070175438...
  10     189        21     0.1111111111111...
  11     252        27     0.1071428571428...
  12     351        35     0.0997150997150...
  13     468        45     0.0961538461538...
  14     504        45     0.0892857142857...
  15     756        63     0.0833333333333...
  16     819        45     0.0549450549450...
  17    1197        63     0.0526315789473...
  18    1953        99     0.0506912442396...
  19    2223       105     0.0472334682860...
  20    2457       105     0.0427350427350...
  21    3276       135     0.0412087912087...
  22    3591       147     0.0409356725146...
  23    4788       189     0.0394736842105...
  24    5733       225     0.0392464678178...
  25    6552       225     0.0343406593406...
  26    9576       315     0.0328947368421...
  27    9828       315     0.0320512820512...
  28   14364       441     0.0307017543859...
  29   15561       315     0.0202429149797...
  30   25389       495     0.0194966323998...
  31   30303       585     0.0193050193050...
  32   35217       675     0.0191668796319...
  33   37107       693     0.0186757215619...
  34   44289       819     0.0184921763869...
  35   46683       735     0.0157444894286...
  36   62244       945     0.0151821862348...
  37   76167      1155     0.0151640474221...
  38   90909      1365     0.0150150150150...
  39  101556      1485     0.0146224742998...
  40  108927      1575     0.0144592249855...
  41  124488      1575     0.0126518218623...
  42  186732      2205     0.0118083670715...
  43  296856      3465     0.0116723259762...
  44  304668      3465     0.0113730355665...

Crossrefs

Cf. A046530.

Sequence in context: A166742 A346554 A022541 * A063798 A084035 A103702

Adjacent sequences: A330692 A330693 A330694 * A330696 A330697 A330698

Keyword

nonn

Author

Jon E. Schoenfield, Dec 26 2019

Status

approved