define the sequence [tex]P_n[/tex] as follows:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]P_{0} = 1[/tex] ; [tex]P_{1} = a[/tex] and [tex]P_{n} = 6P_{(n-1)}-P_{(n-2)} + 2a^2-8a+4[/tex]

Then each term is a product of two numbers as follows

[tex]P_{n}= {1*1,1*a,a*b,b*c,c*d,d*e,\dots}[/tex]

where

b = 2a-1

c = 4b-a

d = 2c-b

e = 4d-c

f = 2e-d

...

...

Has anyone come across this before

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# Certain product sequences and their factors

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