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A099774 Number of divisors of 2n-1. +0
7
1, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 3, 4, 2, 2, 4, 4, 2, 4, 2, 2, 6, 2, 3, 4, 2, 4, 4, 2, 2, 6, 4, 2, 4, 2, 2, 6, 4, 2, 5, 2, 4, 4, 2, 4, 4, 4, 2, 6, 2, 2, 8, 2, 2, 4, 2, 4, 6, 4, 3, 4, 4, 2, 4, 2, 4, 8, 2, 2, 4, 4, 4, 6, 2, 2, 6, 4, 2, 4, 4, 2, 8, 2, 3, 6, 2, 6, 4, 2, 2, 4, 4, 4, 8, 2, 2, 8, 2, 2, 4, 4, 4, 6, 4 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: Sum_{k>0} x^k/(1-x^(2k-1)) . - Michael Somos Sep 02 2006

EXAMPLE

a(5)=3 because the divisors of 9 are: 1, 3, and 9.

MAPLE

with(numtheory): seq(tau(2*n-1), n=1..120);

PROGRAM

(PARI) {a(n)=if(n<1, 0, numdiv(2*n-1))} /* Michael Somos Sep 03 2006 */

CROSSREFS

Bisection of A000005.

Cf. A000005, A099777.

Sequence in context: A138789 A116504 A104011 this_sequence A048288 A050677 A058013

Adjacent sequences: A099771 A099772 A099773 this_sequence A099775 A099776 A099777

KEYWORD

nonn,easy

AUTHOR

njas, Nov 19 2004

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 03 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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