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A166264 If the nth 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. +0
1
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; listen)
OFFSET

1,1

COMMENT

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 (< 5x10^6).

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

CROSSREFS

Cf. A165951, A165974, A166132

Sequence in context: A076814 A147314 A034632 this_sequence A029830 A126557 A092012

Adjacent sequences: A166261 A166262 A166263 this_sequence A166265 A166266 A166267

KEYWORD

nonn

AUTHOR

Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 10 2009

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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