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A089284 Number of divisors of floor(pi*10^n), pi=3.14... 2
2, 2, 4, 6, 8, 2, 8, 8, 48, 8, 16, 4, 8, 8, 8, 8, 72, 4, 64, 96, 16, 64, 128, 128, 8, 24, 256, 8, 32, 64, 16, 64, 192, 4, 24, 40, 96, 2, 32, 4, 16, 48, 8, 32, 16, 64, 48, 8, 320, 8, 32, 48, 8, 64, 192, 48, 16, 32, 16, 64, 96, 128, 8, 120, 16, 64, 32, 48, 8, 32, 192, 512, 64, 96, 144 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

a(n)=A000005(A011545(n)).

LINKS

Dario Alejandro Alpern, Factorization using the Elliptic Curve Method.

Hisanori Mishima, Decimal expansions of pi (n = 0 to 100).

Hisanori Mishima, Decimal expansions of pi (n = 101 to 200).

Hisanori Mishima, Decimal expansions of pi (n = 201 to 250).

EXAMPLE

n=4: floor(pi*10^4)=31415 with divisors: {1,5,61,103,305,515,6283,31415}: a(4)=8.

MATHEMATICA

Table[ DivisorSigma[ 0, Floor[ Pi*10^n]], {n, 0, 10}] (From Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 30 2003)

CROSSREFS

Cf. A089282, A089283, A000796.

Sequence in context: A145804 A046639 A178702 * A081488 A199117 A194695

Adjacent sequences:  A089281 A089282 A089283 * A089285 A089286 A089287

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 30 2003

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 30, 2003

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.