A353439 Integers m such that the decimal expansion of 1/m contains the digit 3.

3, 12, 13, 17, 19, 23, 26, 27, 28, 29, 30, 31, 32, 33, 34, 38, 41, 42, 43, 46, 47, 48, 49, 51, 52, 53, 57, 58, 59, 61, 62, 63, 65, 67, 68, 69, 71, 72, 73, 74, 75, 76, 81, 83, 85, 87, 88, 89, 92, 93, 94, 95, 97, 98, 102, 103, 104, 105, 106, 107, 109, 113, 114, 115, 116

Offset

1,1

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..65.

Example

m = 12 is a term since 1/12 = 0.083333333333... (here, 3 is the smallest digit).
m = 13 is a term since 1/13 = 0.076923076923...
m = 75 is a term since 1/15 = 0.013333333333... (here, 3 is the largest digit).

Mathematica

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 125, MemberQ[f@#, 3] &]

Crossrefs

A350814 (largest digit=3) and A352157 (smallest digit=3) are subsequences.

Similar with digit k: A352154 (k=0), A353437 (k=1), A353438 (k=2), this sequence (k=3), A353440 (k=4), A353441 (k=5), A353442 (k=6), A353443 (k=7), A353444 (k=8), A333237 (k=9).

Sequence in context: A024546 A073542 A063444 * A117061 A341799 A089919

Adjacent sequences: A353436 A353437 A353438 * A353440 A353441 A353442

Keyword

nonn,base

Author

Bernard Schott and Robert G. Wilson v, Apr 22 2022

Status

approved