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A107473 Sum of numerator and denominator of product{p|n,p=primes} (1 -1/p). +0
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2, 3, 5, 3, 9, 4, 13, 3, 5, 7, 21, 4, 25, 10, 23, 3, 33, 4, 37, 7, 11, 16, 45, 4, 9, 19, 5, 10, 57, 19, 61, 3, 53, 25, 59, 4, 73, 28, 21, 7, 81, 9, 85, 16, 23, 34, 93, 4, 13, 7, 83, 19, 105, 4, 19, 10, 31, 43, 117, 19, 121, 46, 11, 3, 113, 43, 133, 25, 113, 47, 141, 4, 145, 55, 23, 28 (list; graph; listen)
OFFSET

1,1

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

a(12) = 4 = 1+3 because (1 -1/2)(1 -1/3) = 1/3.

MAPLE

a:=proc(n) local b, ct, f; with(numtheory): b:=convert(factorset(n), list): ct:=nops(b): f:=simplify(product(1-1/b[j], j=1..ct)):numer(f)+denom(f) end: seq(a(n), n=1..100); (Deutsch)

CROSSREFS

Sequence in context: A072987 A125677 A051358 this_sequence A113222 A060444 A152814

Adjacent sequences: A107470 A107471 A107472 this_sequence A107474 A107475 A107476

KEYWORD

nonn

AUTHOR

Leroy Quet May 27 2005

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 28 2005

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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