A377565 a(n) is the least multiple of n with more decimal digits than n.
10, 10, 12, 12, 10, 12, 14, 16, 18, 100, 110, 108, 104, 112, 105, 112, 102, 108, 114, 100, 105, 110, 115, 120, 100, 104, 108, 112, 116, 120, 124, 128, 132, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 100, 102, 104, 106, 108
Offset: 1
Examples
For n = 42: 42 and 2*42 have the same number of digits, while 3*42 has more digits, so a(42) = 3*42 = 126.
Links
- Rémy Sigrist, Table of n, a(n) for n = 1..9999
Programs
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Mathematica
Table[n*Ceiling[10^IntegerLength[n]/n], {n, 120}] (* Michael De Vlieger, Nov 02 2024 *) -
PARI
a(n) = n * ceil(10^#digits(n) / n)
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Python
def A377565(n): return n-1+10**(l:=len(str(n)))-(pow(10,l,n)-1)%n # Chai Wah Wu, Nov 02 2024
Formula
a(n) = n * A097327(n).