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 A101336 Alternating addition and subtraction of the residues of the primes less than the number. 2
 0, 0, 0, 1, -1, -1, 1, 2, 0, 3, -4, -4, -2, -1, 4, 2, 0, 0, 2, 3, -4, 6, -7, -7, -5, -9, 3, 7, 13, 14, 10, 10, 9, 2, -16, -13, -11, -10, 7, 23, 16, 16, 25, 26, 13, 11, -14, -14, -12, -4, -10, -23, -11, -10, -9, -25, -20, 2, 29, 29, 26, 27, -6, 4, 2, 10, 0, 0, -18, -37, -36, -35, -34, -34, 2, 1, 19, 16, 31, 32, 25, 28, -15, -15, -6, -27, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS The amplitude and periodicity of fluctuations increase... for example a(813) through a(836) are all positive and a(914) through a(937) all are positive except for a(922). LINKS Alois P. Heinz, Table of n, a(n) for n = 0..10000 EXAMPLE a(10) = -4 because 10 (mod 2) - 10 (mod 3) + 10 (mod 5) - 10 (mod 7) = 0-1+0-3. MAPLE a:= n-> add(-irem(n, ithprime(i))*(-1)^i, i=1..numtheory[pi](n)): seq(a(n), n=0..100);  # Alois P. Heinz, Jul 27 2015 MATHEMATICA Table[Total[Times@@@Partition[Riffle[Mod[n, Prime[Range[PrimePi[n]]]], {1, -1}, {2, -1, 2}], 2]], {n, 0, 90}] (* Harvey P. Dale, Jun 03 2017 *) CROSSREFS Cf. A024934. Sequence in context: A285722 A274441 A213859 * A300001 A137218 A306765 Adjacent sequences:  A101333 A101334 A101335 * A101337 A101338 A101339 KEYWORD easy,sign,look AUTHOR Gordon Hamilton, Dec 24 2004 EXTENSIONS a(0)=0 prepended by Alois P. Heinz, Jul 27 2015 STATUS approved

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Last modified March 25 07:12 EDT 2019. Contains 321468 sequences. (Running on oeis4.)