Kevin Acres on Sat, 23 Nov 2019 12:11:32 +0100


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Finding the generating funcction for a theta sequence? 

I have sequence:

[1, -12, 116, -12, -1804, 8120, 116, -155744, 684532, -12]

that has a couple of siblings:

OEIS A186100
[1, -12, -12, -12, -12, -72, -12, -96, -12, -12, -72, -144]

and
OEIS A125510
[1, 6, 6, 42, 6, 36, 42, 48, 6, 150, 36, 72]

I strongly suspect my sequence to also be a theta series, which raises my
question - is there a way to try and derive it's generating function using
pari/gp?

Many Thanks,

Kevin.