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A101336 Alternating addition and subtraction of the residues of the primes less than the number. +0
1
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; listen)
OFFSET

1,7

COMMENT

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).

EXAMPLE

a(10) = -4 because 10 (mod 2) - 10 (mod 3) + 10 (mod 5) - 10 (mod 7) = 0-1+0-3

CROSSREFS

Cf. A024934.

Sequence in context: A013584 A137372 A066439 this_sequence A137218 A087819 A066246

Adjacent sequences: A101333 A101334 A101335 this_sequence A101337 A101338 A101339

KEYWORD

easy,sign

AUTHOR

Gordon Robert Hamilton (hamiltonian(AT)shaw.ca), Dec 24 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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