login
Dimension of the space of weight 2n cusp forms for Gamma_0( 78 ).
0

%I #15 Aug 22 2019 12:18:12

%S 11,38,66,94,122,150,178,206,234,262,290,318,346,374,402,430,458,486,

%T 514,542,570,598,626,654,682,710,738,766,794,822,850,878,906,934,962,

%U 990,1018,1046,1074,1102,1130,1158,1186,1214,1242,1270,1298,1326,1354,1382

%N Dimension of the space of weight 2n cusp forms for Gamma_0( 78 ).

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

%F Conjectures from _Colin Barker_, Jun 10 2019: (Start)

%F G.f.: x*(11 + 16*x + x^2) / (1 - x)^2.

%F a(n) = 2*a(n-1) - a(n-2) for n>3.

%F a(n) = 28*n - 18 for n>1.

%F (End)

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jul 08 2001