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A063367 Dimension of the space of weight n cuspidal newforms for Gamma_1( 94 ). 0

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

%S -1,91,184,276,368,460,552,642,736,826,920,1012,1104,1192,1288,1378,

%T 1472,1562,1656,1744,1840,1928,2024,2114,2208,2294,2392,2480,2576,

%U 2664,2760,2846,2944,3030,3128,3216,3312,3396,3496,3582,3680,3766

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 94 ).

%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 -91*x -184*x^2 -276*x^3 -369*x^4 -369*x^5 -369*x^6 -275*x^7 -184*x^8 -90*x^9 +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.)