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A063363 Dimension of the space of weight n cuspidal newforms for Gamma_1( 90 ). 1

%I #11 May 08 2023 04:46:03

%S -1,53,102,157,212,259,314,367,416,469,526,573,628,679,730,783,840,

%T 885,942,993,1044,1095,1154,1199,1256,1305,1358,1409,1468,1511,1570,

%U 1619,1672,1721,1782,1825,1884,1931,1986,2035,2096,2137,2198

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 90 ).

%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 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 -53*x -102*x^2 -157*x^3 -213*x^4 -206*x^5 -213*x^6 -157*x^7 -102*x^8 -53*x^9 +x^10) / ((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 14 09:06 EDT 2024. Contains 371657 sequences. (Running on oeis4.)