cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A063140 Dimension of the space of weight 2n cusp forms for Gamma_0( 72 ).

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%I A063140 #14 Mar 02 2025 10:03:21
%S A063140 5,28,52,76,100,124,148,172,196,220,244,268,292,316,340,364,388,412,
%T A063140 436,460,484,508,532,556,580,604,628,652,676,700,724,748,772,796,820,
%U A063140 844,868,892,916,940,964,988,1012,1036,1060,1084,1108,1132
%N A063140 Dimension of the space of weight 2n cusp forms for Gamma_0( 72 ).
%H A063140 William A. Stein, <a href="http://wstein.org/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>.
%H A063140 William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>
%F A063140 Conjectures from _Colin Barker_, Sep 23 2012: (Start)
%F A063140 a(n) = 24*n-20 for n>1.
%F A063140 a(n) = 2*a(n-1)-a(n-2) for n>3.
%F A063140 G.f.: x*(5+18*x+x^2)/(1-x)^2. (End)
%F A063140 Conjectured e.g.f.: 20 + x + 4*exp(x)*(6*x - 5). - _Stefano Spezia_, Mar 02 2025
%Y A063140 Cf. A008606.
%K A063140 nonn
%O A063140 1,1
%A A063140 _N. J. A. Sloane_, Jul 08 2001