Search: id:A017593
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%I A017593
%S A017593 6,18,30,42,54,66,78,90,102,114,126,138,150,162,174,186,198,210,222,234,
%T A017593 246,258,2,70,282,294,306,318,330,342,354,366,378,390,402,414,426,438,
%U A017593 450,462,474,486,498,5,10,522,534,546,558,570,582,594,606,618,630,642
%N A017593 12n+6.
%C A017593 Apart from initial term(s), dimension of the space of weight 2n cuspidal 
               newforms for Gamma_0( 73 ).
%C A017593 Continued fraction expansion of tanh(1/6). - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Dec 17 2002
%C A017593 Also solutions to 5^x+7^x == 11 mod 13. - Cino Hilliard (hillcino368(AT)gmail.com), 
               May 10 2003
%C A017593 Except for the first term, a(n)=24*n-a(n-1), (with a(1)=18) [From Vincenzo 
               Librandi (vincenzo.librandi(AT)tin.it), Oct 23 2009]
%H A017593 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 A017593 William A. Stein, <a href="http://modular.fas.harvard.edu/Tables/">The 
               modular forms database</a>
%F A017593 A030133(a(n)) = 9. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jul 04 2007
%e A017593 For n=2, a(2)=24*2-18=30; n=3, a(3)=24*3-30=42; n=4, a(4)=24*4-42=54 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 23 2009]
%o A017593 (Other) sage: [i+6 for i in range(645) if gcd(i,12) == 12] # [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), May 21 2009]
%Y A017593 Cf. A017641.
%Y A017593 Sequence in context: A157800 A077660 A030568 this_sequence A096286 A153126 
               A110671
%Y A017593 Adjacent sequences: A017590 A017591 A017592 this_sequence A017594 A017595 
               A017596
%K A017593 nonn,easy
%O A017593 0,1
%A A017593 N. J. A. Sloane (njas(AT)research.att.com).

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