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A116568 Difference between n and the absolute value of the difference between number of nonprimes not exceeding n and number of primes not exceeding n. 0
0, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 10, 12, 12, 12, 12, 14, 14, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18, 20, 20, 22, 22, 22, 22, 22, 22, 24, 24, 24, 24, 26, 26, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 32, 32, 32, 32, 32, 32, 34, 34, 36, 36, 36, 36, 36, 36, 38, 38, 38, 38, 40, 40, 42 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

FORMULA

a(n)=n-Abs[A097454(n)].

EXAMPLE

a(11)=10 because the nonprimes not exceeding 11 are 1,4,6,8,9 and 10, the primes not exceeding 11 are 2,3,5,7 and 11 and 11-abs(6-5)=10.

MAPLE

with(numtheory): seq(n-abs(n-2*pi(n)), n=1..73);

CROSSREFS

Cf. A097454.

Sequence in context: A179291 A004079 A096494 * A061106 A161764 A131055

Adjacent sequences:  A116565 A116566 A116567 * A116569 A116570 A116571

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 18 2006

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2006

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Last modified February 16 10:07 EST 2012. Contains 205904 sequences.