Search: id:A047209
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%I A047209
%S A047209 1,4,6,9,11,14,16,19,21,24,26,29,31,34,36,39,41,44,46,49,51,54,56,59,
%T A047209 61,64,66,69,71,74,76,79,81,84,86,89,91,94,96,99,101,104,106,109,111,
%U A047209 114,116,119,121,124,126,129,131,134,136,139,141,144,146,149,151,154
%N A047209 Numbers that are congruent to {1, 4} mod 5.
%C A047209 Apart from initial term(s), dimension of the space of weight 2n cuspidal 
               newforms for Gamma_0( 72 ).
%C A047209 n such that Kronecker(5,n)==mu(gcd(5,n)). - Jon Perry (perry(AT)globalnet.co.uk), 
               Sep 17 2002
%C A047209 Apart from initial terms, a(n)=5*n-a(n-1), (with a(1)=4) Example: for 
               n=2, a(2)=5*2-4=6; n=3, a(3)=5*3-6=9; n=4, a(4)=5*4-9=11 [From Vincenzo 
               Librandi (vincenzo.librandi(AT)tin.it), Oct 17 2009]
%H A047209 William A. Stein, <a href="http://modular.fas.harvard.edu/Tables/dimskg0new.gp">
               Dimensions of the spaces S_k^{new}(Gamma_0(N))</a>
%H A047209 William A. Stein, <a href="http://modular.fas.harvard.edu/Tables/">The 
               modular forms database</a>
%H A047209 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DeterminedbySpectrum.html">Determined by Spectrum</a>
%F A047209 G.f.: (1+3x+x^2)/((1-x)(1-x^2)).
%F A047209 a(n)=floor((5n+3)/2).
%F A047209 a(0)=1, a(n)=5n-a(n-1). - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Apr 12 2003
%Y A047209 Cf. A000566.
%Y A047209 Sequence in context: A133578 A010387 A010411 this_sequence A138812 A003259 
               A020935
%Y A047209 Adjacent sequences: A047206 A047207 A047208 this_sequence A047210 A047211 
               A047212
%K A047209 nonn
%O A047209 1,2
%A A047209 N. J. A. Sloane (njas(AT)research.att.com).
%E A047209 Edited by Michael Somos, Sep 22, 2002

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