A353443 Integers m such that the decimal expansion of 1/m contains the digit 7.

7, 13, 14, 17, 19, 21, 23, 27, 28, 29, 34, 35, 36, 37, 38, 43, 44, 46, 47, 49, 51, 52, 53, 56, 57, 58, 59, 61, 63, 67, 68, 69, 70, 71, 76, 77, 79, 81, 83, 84, 85, 86, 87, 89, 92, 93, 94, 95, 97, 98, 102, 103, 107, 109, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 126, 127

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..66.

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

Example

m = 7 is a term since 1/7 = 0.142857142857...
m = 27 is a term since 1/27 = 0.037037037... (here, 7 is the largest digit).

Mathematica

f[n_] := Union[ Flatten[ RealDigits[ 1/n][[1]] ]]; Select[ Range@ 150, MemberQ[f@#, 7] &]

Crossrefs

A351473 (largest digit=7) is a subsequence.

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), this sequence (k=7), A353444 (k=8), A333237 (k=9).

Sequence in context: A057930 A363491 A342581 * A332480 A233593 A013651

Adjacent sequences: A353440 A353441 A353442 * A353444 A353445 A353446

Keyword

nonn

Author

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

Status

approved