A353442 Integers m such that the decimal expansion of 1/m contains the digit 6.

6, 13, 15, 16, 17, 19, 21, 23, 24, 26, 29, 31, 34, 38, 39, 46, 47, 49, 51, 52, 53, 57, 58, 59, 60, 61, 62, 64, 65, 68, 69, 71, 73, 76, 79, 81, 83, 84, 85, 86, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 102, 103, 104, 106, 107, 109, 113, 114, 115, 116, 118, 119, 121, 122, 124, 126

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 = 6 is a term since 1/6 = 0.16666666666...
m = 13 is a term since 1/13 = 0.076923076923...
m = 103125 is a term since 1/103125 = 0.00000969696...
		

Links

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

Crossrefs

A351472 (largest digit=6) and A352160 (smallest digit=6) are subsequences.

Similar with digit k: A352154 (k=0), A353437 (k=1), A353438 (k=2), A353439 (k=3), A353440 (k=4), A353441 (k=5), this sequence (k=6), A353443 (k=7), A353444 (k=8), A333237 (k=9).

Programs

Mathematica

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 150, MemberQ[f@#, 6] &]