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Search: id:A003959
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A003959 Fully multiplicative with a(p) = p+1 for prime p. +0
26
1, 3, 4, 9, 6, 12, 8, 27, 16, 18, 12, 36, 14, 24, 24, 81, 18, 48, 20, 54, 32, 36, 24, 108, 36, 42, 64, 72, 30, 72, 32, 243, 48, 54, 48, 144, 38, 60, 56, 162, 42, 96, 44, 108, 96, 72, 48, 324, 64, 108, 72, 126, 54, 192, 72, 216, 80, 90, 60, 216, 62, 96, 128, 729, 84, 144, 68 (list; graph; listen)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

If n = Product p(k)^e(k) then a(n) = Product (p(k)+1)^e(k).

Multiplicative with a(p^e) = (p+1)^e. - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.

PROGRAM

(PARI) a(n)=if(n<1, 0, direuler(p=2, n, 1/(1-X-p*X))[n]) (from R. Stephan)

CROSSREFS

Apart from initial terms, same as A064478. Cf. A003958.

Cf. A063441.

Adjacent sequences: A003956 A003957 A003958 this_sequence A003960 A003961 A003962

Sequence in context: A021290 A016656 A084425 this_sequence A083111 A132065 A157020

KEYWORD

nonn,easy,nice,mult

AUTHOR

Marc LeBrun (mlb(AT)well.com)

page 1

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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