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A166264 If the n-th prime is denoted by p(n) then a(j) = frequency with which each distinct value of (Sum of the quadratic non-residues of p(n) - Sum of the quadratic residues of p(n)) / p(n) occurs. 2
174195, 6, 16, 25, 31, 34, 41, 37, 68, 45, 47, 85, 68, 95, 93, 83, 73, 101, 103, 85, 115, 109, 106, 154, 107, 132, 159, 114, 163, 179, 128, 132, 216, 164, 120, 209, 150, 119, 237, 216, 175, 228, 150, 221, 222, 192, 214, 262, 241, 185, 289, 196, 181, 379, 189 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The table below shows a(j) for each distinct value of (Sum of the quadratic non-residues of p(n) - Sum of the quadratic residues of p(n)) / p(n) for 1 <= n <= 348513, with p(348513) = 4999999 (< 5*10^6).

a(1) appears to increase indefinitely, so the static sequence starts at a(2).

   j   (SQN-SQR)/p(n)    a(j)

  --   --------------  ------

   1          0        174195

   2          1             6

   3          3            16

   4          5            25

   5          7            31

   6          9            34

   7         11            41

   8         13            37

   9         15            68

  10         17            45

  11         19            47

  12         21            85

  13         23            68

  14         25            95

  15         27            93

  16         29            83

  17         31            73

  18         33           101

  19         35           103

  20         37            85

  21         39           115

  22         41           109

  23         43           106

  24         45           154

  25         47           107

  26         49           132

  27         51           159

  28         53           114

  29         55           163

  30         57           179

  31         59           128

  32         61           132

  33         63           216

  34         65           164

  35         67           120

  36         69           209

  37         71           150

  38         73           119

  39         75           237

  40         77           216

  41         79           175

  42         81           228

  43         83           150

  44         85           221

  45         87           222

  46         89           192

  47         91           214

  48         93           262

  49         95           241

  50         97           185

  51         99           289

  52        101           196

  53        103           181

  54        105           379

  55        107           189

  56        109           209

  57        111           314

  58        113           239

LINKS

Christopher Hunt Gribble, Table of n, a(n) for n = 1..1973.

CROSSREFS

Cf. A165951, A165974, A004273.

Sequence in context: A209813 A034632 A251155 * A205054 A244549 A214172

Adjacent sequences:  A166261 A166262 A166263 * A166265 A166266 A166267

KEYWORD

nonn

AUTHOR

Christopher Hunt Gribble, Oct 10 2009

STATUS

approved

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Last modified November 26 09:38 EST 2020. Contains 338639 sequences. (Running on oeis4.)