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A140697 Mobius transform of A000082. +0
1
1, 5, 11, 18, 29, 55, 55, 72, 96, 145, 131, 198, 181, 275, 319, 288, 305, 480, 379, 522, 605, 655, 551, 792, 720, 905, 864, 990, 869, 1595, 991, 1152, 1441, 1525, 1595, 1728, 1405, 1895, 1991, 2088, 1721, 3025, 1891, 2358, 2784, 2755, 2255, 3168, 2688, 3600 (list; graph; listen)
OFFSET

1,2

EXAMPLE

a(4) = 18 = (0, -1, 0, 1) dot (1, 6, 12, 24), where (0, -1 0, 1) = row 4 of A054525 and A000082 = (1, 6, 12, 24, 30, 72,...).

MAPLE

with (numtheory): a:= n-> add (k^2* mul(1+1/p, p=select (isprime, divisors(k)))* mobius(n/k), k=divisors(n)): seq (a(n), n=1..60); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 28 2008]

CROSSREFS

Cf. A000082.

Adjacent sequences: A140694 A140695 A140696 this_sequence A140698 A140699 A140700

Sequence in context: A056000 A080566 A094684 this_sequence A048253 A102174 A140515

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 23 2008

EXTENSIONS

Definition corrected by njas, Jul 28 2008

More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 28 2008

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Last modified January 7 11:41 EST 2009. Contains 152824 sequences.


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