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A063368 Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ). 0

%I #9 Aug 22 2019 12:18:12

%S -1,275,606,934,1262,1590,1918,2246,2574,2902,3230,3562,3886,4214,

%T 4542,4874,5198,5530,5854,6186,6510,6842,7166,7502,7822,8154,8478,

%U 8814,9134,9470,9790,10126,10446,10782,11102,11442,11758,12094

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a>

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

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

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

%F G.f.: -x^2*(1 -275*x -606*x^2 -934*x^3 -1263*x^4 -1315*x^5 -1313*x^6 -1037*x^7 -706*x^8 -378*x^9 -49*x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).

%F (End)

%K sign

%O 2,2

%A _N. J. A. Sloane_, Jul 14 2001

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Last modified April 18 11:02 EDT 2024. Contains 371779 sequences. (Running on oeis4.)