%I #10 Jan 25 2021 11:46:35

%S 1,25,455,5558,255558,4555558,55555588,2555555588,45555555588,

%T 555555555888,25555555555888,455555555555888,5555555555558888,

%U 255555555555558888,4555555555555558888,55555555555555588888,2555555555555555588888,45555555555555555588888

%N Smallest number with digital product = 10^n.

%H Michael S. Branicky, <a href="/A089386/b089386.txt">Table of n, a(n) for n = 0..750</a> (contiguous terms not exceeding 1000 digits)

%o (Python)

%o def a(n):

%o if n == 0: return 1

%o pow10, s = 10**n, ""

%o for d in [8, 5, 4, 2]:

%o while pow10%d == 0: pow10//=d; s += str(d)

%o return int(s[::-1])

%o print([a(n) for n in range(18)]) # _Michael S. Branicky_, Jan 25 2021

%Y Cf. A007954, A011557.

%K base,nonn

%O 0,2

%A _Amarnath Murthy_, Nov 08 2003

%E More terms from _Robert G. Wilson v_, Nov 22 2003