[seqfan] A063116
David Sycamore
djsycamore at yahoo.co.uk
Wed Aug 21 19:44:33 CEST 2019
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.
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