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A063362 Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ). 0

%I #11 May 08 2023 04:46:23

%S -1,287,616,946,1276,1606,1936,2266,2596,2926,3256,3584,3916,4246,

%T 4576,4904,5236,5564,5896,6224,6556,6884,7216,7542,7876,8204,8536,

%U 8862,9196,9522,9856,10182,10516,10842,11176,11500,11836,12162

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).

%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 -287*x -616*x^2 -946*x^3 -1277*x^4 -1319*x^5 -1321*x^6 -1033*x^7 -704*x^8 -374*x^9 -43*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 May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)