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A063196 Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 7 ). 3
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)
OFFSET

1,3

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

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

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]

CROSSREFS

Cf. A109613.

Sequence in context: A133909 A177691 A117767 * A127630 A109613 A175298

Adjacent sequences:  A063193 A063194 A063195 * A063197 A063198 A063199

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jul 10 2001

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Last modified February 16 21:45 EST 2012. Contains 205978 sequences.