A352161 Numbers m such that the smallest digit in the decimal expansion of 1/m is k = 8, ignoring leading and trailing 0's.

125, 1125, 1250, 11250, 12500, 112500, 125000, 1125000, 1250000, 11250000, 12500000, 112500000, 125000000, 1125000000, 1250000000

Offset

1,1

Comments

Leading 0's are not considered, otherwise every integer >= 11 would be a term.

Trailing 0's are also not considered, otherwise numbers of the form 2^i*5^j with i, j >= 0, apart from 1 (A003592) would be terms.

If t is a term, 10*t is also a term; so, terms with no trailing zeros are all primitive terms: 125, 1125, ...

Note that for k = 7, if any term exists, it must be greater than 10^10. - Jinyuan Wang, Mar 29 2022

Links

Table of n, a(n) for n=1..15.

Index entries for sequences related to decimal expansion of 1/n.

Formula

A352153(a(n)) = 8.

Example

m = 125 is a term since 1/125 = 0.008 and the smallest digit after the leading 0's is 8.
m = 1125 is a term since 1/1125 = 0.00088888888... and the smallest digit after the leading 0's is 8.

Crossrefs

Cf. A351474.

Similar with smallest digit k: A352154 (k=0), A352155 (k=1), A352156 (k=2), A352157 (k=3), A352158 (k=4), A352159 (k=5), A352160 (k=6), A352153 (no known term for k=7), this sequence (k=8), no term (k=9).

Sequence in context: A088896 A016851 A204795 * A243240 A237713 A000526

Adjacent sequences: A352158 A352159 A352160 * A352162 A352163 A352164

Keyword

nonn,base,more

Author

Bernard Schott, Mar 29 2022

Extensions

a(9)-a(15) from Jinyuan Wang, Mar 29 2022

Status

approved