The On-Line Encyclopedia of Integer Sequences (OEIS)

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A063347

Dimension of the space of weight n cuspidal newforms for Gamma_1( 74 ).
(history; published version)

#11 by R. J. Mathar at Mon May 08 04:49:24 EDT 2023

STATUS

editing

approved

#10 by R. J. Mathar at Mon May 08 04:49:21 EDT 2023

FORMULA

Conjectures from _From _Colin Barker_, Feb 25 2016: (Start)

STATUS

approved

editing

#9 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/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>

Discussion

Thu Aug 22

12:18

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

#8 by N. J. A. Sloane at Sat Mar 26 07:47:28 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

#7 by Joerg Arndt at Fri Feb 26 02:59:51 EST 2016

STATUS

proposed

approved

#6 by Colin Barker at Thu Feb 25 09:26:03 EST 2016

STATUS

editing

proposed

#5 by Colin Barker at Thu Feb 25 04:57:45 EST 2016

FORMULA

Conjectures from Colin Barker, Feb 25 2016: (Start)

a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.

G.f.: -x^2*(1 -56*x -114*x^2 -171*x^3 -229*x^4 -229*x^5 -229*x^6 -170*x^7 -114*x^8 -55*x^9 +x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

(End)

STATUS

approved

editing

#4 by N. J. A. Sloane at Tue Sep 09 01:17:12 EDT 2014

LINKS

William A. Stein, <a href="http://modular.fasmath.harvardwashington.edu/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(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 16:49:11 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Jul 14 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

sign,new

sign

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Jul 14 2001