[math-fun] Read by pairs

Hello Math-Fun, there are only 8 terms here — then the seq stops. Can you do better (more terms with another start)? S = 22,55,628,5527,54140,52707,539525,5296736. The rule is simple: read by pairs. The first pair reads « 22,55 is 2 x (2.5) = 5 » The second pair reads « 55,628 is 5 x (5.6) = 28 » The third pair reads « 628,5527 is 62 x (8.5) = 527 » etc. Note that inside the parentheses you have only 3 elements: — the rightmost digit of a(n) — a dot — the leftmost digit of a(n+1) Note also that the first element can be zero: « 54140,52707 is 5414 x (0.5) = 2707 ». Best, É.