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A010057 1 if n is a cube else 0. +0
2
1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,1

COMMENT

Multiplicative with a(p^e) = 1 if 3 divides e, 0 otherwise. Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 09, 2005.

LINKS

Index entries for characteristic functions

FORMULA

Dirichlet generating function: zeta(3s). - Franklin T. Adams-Watters, Sep 11 2005.

a(n) = f(n,0) with f(x,y) = if x>0 then f(x-3*y*(y+1),y+1) else 0^(-x). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 27 2008]

CROSSREFS

Cf. A000578.

A003215. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 27 2008]

Sequence in context: A016335 A016373 A167700 this_sequence A060396 A016355 A016402

Adjacent sequences: A010054 A010055 A010056 this_sequence A010058 A010059 A010060

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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