Hello, icemanfan!

I haven't solved this yet, but I have a primitive start on it.

Maybe someone will be inspired to continue . . .

Find a way to obtain an explicit formula, in terms of , such that

, for , for any positive integral choice of

For

Subtract : .

We have: .

Therefore: . ... for

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

For

Subtract: .

. .

Therefore: . ... for

. . . Anyone getting excited yet?