A353444 Integers m such that the decimal expansion of 1/m contains the digit 8.

7, 12, 14, 17, 19, 23, 26, 28, 29, 31, 34, 35, 38, 42, 43, 46, 47, 48, 49, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 65, 67, 68, 69, 70, 71, 72, 73, 76, 77, 78, 79, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 97, 98, 102, 103, 104, 105, 107, 109, 112, 113, 114, 115, 116, 117, 118

Offset: 1

Author

Bernard Schott and Robert G. Wilson v, Apr 25 2022

Keywords

• nonn
• base

Comments

If m is a term, 10*m is also a term, so terms with no trailing zeros are all primitive terms.

Examples

			m = 12 is a term since 1/12 = 0.08333333333...
m = 17 is a term since 1/17 = 0.05882352941176470588235294117647...
m = 125 is a term since 1/125 = 0.008.
		

Links

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

Crossrefs

A351474 (largest digit=8) and A352161 (smallest digit=8) are subsequences.

Similar with digit k: A352154 (k=0), A353437 (k=1), A353438 (k=2), A353439 (k=3), A353440 (k=4), A353441 (k=5), A353442 (k=6), A353443 (k=7), this sequence (k=8), A333237 (k=9).

Programs

Mathematica

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 150, MemberQ[f@#, 8] &]
Select[Range[150],MemberQ[realDigitsRecip[#],8]&] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Jan 11 2025 *)