Generating Functions -- Number Theory 29

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[danielfarbowitz]

I appreciated the second warm-up. One interesting realization I got out of it is that any q^n - 1 = (q-1)*(q^(n-1) + q^(n-2) + ...)

[NotoriousSRG]

This is the Polynomial that never ends,
It goes on and on my friends,
Someone started writing it,
Not knowing what it was,
But now we sing this song to remind us that,
This is the Polynomial that never ends,
It goes on and on my friends,
Someone started writing it,
Not knowing what it was,
But now we sing this song to remind us that,

[kapsel-ygsk]

From my calculations on a sticker (xd) the last one should be: a_n = [5*3^(n+1)-2n-1]/4. Check me xd

[cycklist]

What is a 'formal variable' though?