A353437 Integers m such that the decimal expansion of 1/m contains the digit 1.

1, 6, 7, 8, 9, 10, 14, 17, 19, 21, 23, 24, 26, 28, 29, 31, 32, 34, 35, 38, 39, 43, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..75.

Example

m = 7 is a term since 1/7 = 0.142857142857... (here, 1 is the smallest digit).
m = 17 is a term since 1/17 = 0.05882352941176470588235294117647...
m = 99 is a term since 1/99 = 0.0101010101... (here, 1 is the largest digit).

Mathematica

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 125, MemberQ[f@#, 1] &]

Crossrefs

A333402 (largest digit=1) and A352155 (smallest digit=1) are subsequences.

Similar with digit k: A352154 (k=0), this sequence (k=1), A353438 (k=2), A353439 (k=3), A353440 (k=4), A353441 (k=5), A353442 (k=6), A353443 (k=7), A353444 (k=8), A333237 (k=9).

Sequence in context: A067901 A115840 A371565 * A352155 A058368 A321852

Adjacent sequences: A353434 A353435 A353436 * A353438 A353439 A353440

Keyword

base,nonn

Author

Bernard Schott and Robert G. Wilson v, Apr 19 2022

Status

approved