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A063347 Dimension of the space of weight n cuspidal newforms for Gamma_1( 74 ). 0

%I #11 May 08 2023 04:49:24

%S -1,56,114,171,228,285,342,397,456,511,570,627,684,737,798,853,912,

%T 967,1026,1079,1140,1193,1254,1309,1368,1419,1482,1535,1596,1649,1710,

%U 1761,1824,1875,1938,1991,2052,2101,2166,2217,2280,2331,2394

%N Dimension of the space of weight n cuspidal newforms for Gamma_1( 74 ).

%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 -56*x -114*x^2 -171*x^3 -229*x^4 -229*x^5 -229*x^6 -170*x^7 -114*x^8 -55*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 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)