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A165951 If the n-th prime is denoted by p(n) then a(n) = (Sum of the quadratic non-residues of p(n) - Sum of the quadratic residues of p(n)) / p(n) 5
0, 0, 0, 1, 1, 0, 0, 1, 3, 0, 3, 0, 0, 1, 5, 0, 3, 0, 1, 7, 0, 5, 3, 0, 0, 0, 5, 3, 0, 0, 5, 5, 0, 3, 0, 7, 0, 1, 11, 0, 5, 0, 13, 0, 0, 9, 3, 7, 5, 0, 0, 15, 0, 7, 0, 13, 0, 11, 0, 0, 3, 0, 3, 19, 0, 0, 3, 0, 5, 0, 0, 19, 9, 0, 3, 17, 0, 0, 0, 0, 9, 0, 21, 0, 15, 5, 0, 0, 0, 7, 7, 25, 7, 9, 3, 21, 0, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,9

COMMENTS

Also, a(n) = (sum (floor (j^2/p(n))), j = 1:p(n)-1) - floor ((p(n)-2)(p(n)-1)/3) for n >= 3.

LINKS

C. H. Gribble, Table of n, a(n) for n=1,..., 348513 (i.e. for primes < 5x10^6).

CROSSREFS

a(3:) = A125616 - A076410.

Sequence in context: A193084 A126598 A127802 * A094901 A030220 A055240

Adjacent sequences:  A165948 A165949 A165950 * A165952 A165953 A165954

KEYWORD

nonn

AUTHOR

Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 01 2009

EXTENSIONS

a(1:2) added and cross-reference section modified by Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 07 2009

Comment corrected by Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 17 2009

Comment corrected by Christopher Hunt Gribble (chris.eveswell(AT)virgin.net), Oct 29 2009

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.