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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; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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
| 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
| For n>1, a(n-1)={2n+1+(-1)^n}/2 (odd numbers appearing twice). - Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 22 2004Except the first term, a(n)=2*n-a(n-1), (with a(1)=1), [From Vincenzo Librandi, Dec 06 2010]
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CROSSREFS
| Cf. A109613.
Sequence in context: A133909 A177691 A117767 * A127630 A109613 A175298
Adjacent sequences: A063193 A063194 A063195 * A063197 A063198 A063199
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 10 2001
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