The Premise

Start with a premise:

Two dice rolled,

The number on the first die

added to an infinite arithmetic

sequence of the second number.

Which combinations will produce 

a perfect square somewhere

in the resulting sequence?

It is a debate for mathletes

and siblings around a  table,

the laptop called into play whose

trial and result program makes

an aggravating background beep

like a dripping faucet

churning out numbers

in stream with the voices'

rising falling currents. 

Any two, when added to 

infinitely again the same

moment by moment

do not always achieve perfection.

Another two, added alike,

will produce each perfected gem

upon its turn.

One plus one is obvious,

but five plus three

takes much more figuring.

When random dice threw us together

I did not know what perfect squares

we could add around our table

we just kept adding up the moments

letting the sequence run on 

in an accumulation of identity

rooted in the place and time we met.

I am no laptop to calculate

yet I discern a function 

in the easy laughter.  

This investigation probes

for theoretic values,

where absolute value lies. 

These squares of you and me,

the geometrically sound

sequence of our effort,

give meaning to our premise

and prove the sum of

all our parts. 

QED.