Search: id:A063196
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%I A063196
%S A063196 0,1,3,3,5,5,7,7,9,9,11,11,13,13,15,15,17,17,19,19,21,21,23,23,
%T A063196 25,25,27,27,29,29,31,31,33,33,35,35,37,37,39,39,41,41,43,43,45,
%U A063196 45,47,47,49,49
%N A063196 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 7 
               ).
%C A063196 Also, for n>1, number of involutions (i.e. elements of order 2) in the 
               dihedral group D_(n-1). - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Oct 22 2004
%H A063196 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 A063196 William A. Stein, <a href="http://modular.fas.harvard.edu/Tables/">The 
               modular forms database</a>
%H A063196 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               WallisFormula.html">Wallis Formula</a>
%F A063196 For n>1, a(n-1)={2n+1+(-1)^n}/2 (odd numbers appearing twice). - Lekraj 
               Beedassy (blekraj(AT)yahoo.com), Oct 22 2004
%F A063196 a(n)=2*n-a(n-1), (with a(1)=1), except the first term. [From Vincenzo 
               Librandi (vincenzo.librandi(AT)tin.it), Oct 16 2009]
%e A063196 For n=2, a(2)=2*2-1=3; n=3, a(3)=2*3-3=3; n=4, a(4)=2*4-3=5; a(5)=2*5-5=5 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 16 2009]
%Y A063196 Cf. A109613.
%Y A063196 Sequence in context: A129337 A133909 A117767 this_sequence A127630 A109613 
               A073737
%Y A063196 Adjacent sequences: A063193 A063194 A063195 this_sequence A063197 A063198 
               A063199
%K A063196 nonn
%O A063196 1,3
%A A063196 N. J. A. Sloane (njas(AT)research.att.com), Jul 10 2001

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