Search: id:A010057
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%I A010057
%S A010057 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,
%T A010057 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,
%U A010057 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
%N A010057 1 if n is a cube else 0.
%C A010057 Multiplicative with a(p^e) = 1 if 3 divides e, 0 otherwise. Mitch Harris 
               (Harris.Mitchell(AT)mgh.harvard.edu) Jun 09, 2005.
%H A010057 <a href="Sindx_Ch.html#char_fns">Index entries for characteristic functions</
               a>
%F A010057 Dirichlet generating function: zeta(3s). - Franklin T. Adams-Watters, 
               Sep 11 2005.
%F A010057 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]
%Y A010057 Cf. A000578.
%Y A010057 A003215. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Sep 27 2008]
%Y A010057 Sequence in context: A016335 A016373 A167700 this_sequence A060396 A016355 
               A016402
%Y A010057 Adjacent sequences: A010054 A010055 A010056 this_sequence A010058 A010059 
               A010060
%K A010057 nonn,mult
%O A010057 0,1
%A A010057 N. J. A. Sloane (njas(AT)research.att.com).

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