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A063310 Dimension of the space of weight n cuspidal newforms for Gamma_1( 37 ). 0

%I

%S -1,40,96,153,210,267,324,381,438,495,552,607,666,723,780,835,894,949,

%T 1008,1063,1122,1177,1236,1289,1350,1405,1464,1517,1578,1631,1692,

%U 1745,1806,1859,1920,1971,2034,2087,2148,2199,2262,2313,2376

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 37 ).

%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 24 2016: (Start)

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

%F G.f.: -x^2*(1 -40*x -96*x^2 -153*x^3 -211*x^4 -227*x^5 -229*x^6 -188*x^7 -132*x^8 -75*x^9 -17*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 March 27 18:55 EDT 2023. Contains 361575 sequences. (Running on oeis4.)