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A063134

Dimension of the space of weight 2n cusp forms for Gamma_0( 66 ).
(history; published version)

#10 by N. J. A. Sloane at Thu Aug 22 12:18:12 EDT 2019

LINKS

William A. Stein, <a href="http://modular.math.washingtonwstein.eduorg/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.

Discussion

Thu Aug 22

12:18

OEIS Server: https://oeis.org/edit/global/2823

#9 by Susanna Cuyler at Mon Jun 10 10:13:46 EDT 2019

STATUS

reviewed

approved

#8 by Felix Fröhlich at Mon Jun 10 07:53:44 EDT 2019

STATUS

proposed

reviewed

#7 by Colin Barker at Mon Jun 10 07:47:13 EDT 2019

STATUS

editing

proposed

#6 by Colin Barker at Mon Jun 10 07:47:07 EDT 2019

FORMULA

Conjectures from Colin Barker, Jun 10 2019: (Start)

G.f.: x*(9 + 14*x + x^2) / (1 - x)^2.

a(n) = 2*a(n-1) - a(n-2) for n>3.

a(n) = 8*(3*n-2) for n>1.

(End)

STATUS

approved

editing

#5 by N. J. A. Sloane at Sat Mar 26 07:47:23 EDT 2016

LINKS

William A. Stein, <a href="http://modular.math.washingtonwstein.eduorg/Tables/">The modular forms database</a>

Discussion

Sat Mar 26

07:47

OEIS Server: https://oeis.org/edit/global/2491

#4 by N. J. A. Sloane at Tue Sep 09 01:17:10 EDT 2014

LINKS

William A. Stein, <a href="http://modular.fasmath.harvardwashington.edu/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.

William A. Stein, <a href="http://modular.fasmath.harvardwashington.edu/Tables/">The modular forms database</a>

Discussion

Tue Sep 09

01:17

OEIS Server: https://oeis.org/edit/global/2333

#3 by Russ Cox at Fri Mar 30 16:49:09 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Jul 08 2001

Discussion

Fri Mar 30

16:49

OEIS Server: https://oeis.org/edit/global/110

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Jul 08 2001

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Dimension of the space of weight 2n cusp forms for Gamma_0( 66 ).

DATA

9, 32, 56, 80, 104, 128, 152, 176, 200, 224, 248, 272, 296, 320, 344, 368, 392, 416, 440, 464, 488, 512, 536, 560, 584, 608, 632, 656, 680, 704, 728, 752, 776, 800, 824, 848, 872, 896, 920, 944, 968, 992, 1016, 1040, 1064, 1088, 1112, 1136

OFFSET

1,1

LINKS

William A. Stein, <a href="http://modular.fas.harvard.edu/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.

William A. Stein, <a href="http://modular.fas.harvard.edu/Tables/">The modular forms database</a>

KEYWORD

nonn

AUTHOR

njas, Jul 08 2001

STATUS

approved