If I have a recurrence
$$R_n = aR_{n-1}+bR_{n-2}, R_1 = x, R_2 = y$$
and now I want to consider this new recurrence
$$Q_n = c(aQ_{n-1}+bQ_{n-2})$$
Is there any way to relate the two (perhaps by setting some specific initial values of $Q$)?
If I have a recurrence
$$R_n = aR_{n-1}+bR_{n-2}, R_1 = x, R_2 = y$$
and now I want to consider this new recurrence
$$Q_n = c(aQ_{n-1}+bQ_{n-2})$$
Is there any way to relate the two (perhaps by setting some specific initial values of $Q$)?
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