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Search: id:A063196
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| A063196 |
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Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 7 ). |
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3
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| 0, 1, 3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 33, 33, 35, 35, 37, 37, 39, 39, 41, 41, 43, 43, 45, 45, 47, 47, 49, 49
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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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
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LINKS
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William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
William A. Stein, The modular forms database
Eric Weisstein's World of Mathematics, Wallis Formula
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FORMULA
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For n>1, a(n-1)={2n+1+(-1)^n}/2 (odd numbers appearing twice). - Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 22 2004
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]
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EXAMPLE
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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]
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CROSSREFS
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Cf. A109613.
Sequence in context: A129337 A133909 A117767 this_sequence A127630 A109613 A073737
Adjacent sequences: A063193 A063194 A063195 this_sequence A063197 A063198 A063199
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jul 10 2001
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