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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.

Sequence in context: A056000 A080566 A094684 this_sequence A048253 A102174 A140515

Adjacent sequences: A140694 A140695 A140696 this_sequence A140698 A140699 A140700

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

Definition corrected by N. J. A. Sloane (njas(AT)research.att.com), Jul 28 2008

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

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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