|
Search: id:A063210
|
|
|
| A063210 |
|
Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 42 ). |
|
+0
4
|
|
| 1, 2, 6, 6, 10, 10, 14, 14, 18, 18, 22, 22, 26, 26, 30, 30, 34, 34, 38, 38, 42, 42, 46, 46, 50, 50, 54, 54, 58, 58, 62, 62, 66, 66, 70, 70, 74, 74, 78, 78, 82, 82, 86, 86, 90, 90, 94, 94, 98, 98
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Equals triangle A153860 * [1,2,3,...] [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 03 2009]
|
|
LINKS
|
William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
William A. Stein, The modular forms database
|
|
FORMULA
|
a(n) = (n^2 - n)/floor(n/2) for n >=2. (Excludes leading 1.) - William A. Tedeschi (fynmun(AT)hotmail.com), Mar 20 2008
Except for the first term, a(n)=4*n-a(n-1), (with a(1)=2) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 16 2009]
|
|
EXAMPLE
|
For n=2, a(2)=4*2-2=6; n=3, a(3)=4*3-6=6; n=4, a(4)=4*4-6=10; n=5, a(5)=20-10=10 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 16 2009]
|
|
CROSSREFS
|
A153860 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 03 2009]
Sequence in context: A021978 A141377 A006955 this_sequence A114718 A102261 A147298
Adjacent sequences: A063207 A063208 A063209 this_sequence A063211 A063212 A063213
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jul 10 2001
|
|
|
Search completed in 0.002 seconds
|
