[seqfan] A063116

[David Sycamore]

Hello Seqfans,

The Name of the above sequence says:

“Dimension of the space of weight 2n cusp forms for Gamma_0(48).”

(which means nothing to me...). 

Data: 3,18,34,66,82,98,114,130,146,162....

Can anyone please explain what is meant by the Name? There is a link entitled “Dimensions of the spaces S_k(Gamma_0(N))” but it leads to a message saying “Sorry, the website....cannot be found”. Also there are no Comments or examples given.

A formula a(n)=2(8n-7) is conjectured, which seems to work. 

Unless I am mistaken another possible formula for these terms could be: 

a(n)= A(B(n-1)+1) - A(B(n-2)+1) , for n>1

Where A is A000217 and B is A016813. 

Any explanation or comments?

Cheers, 

David.