A285846 A039938 with duplicates removed.

7, 37, 237, 1789, 4357, 14379, 19587, 93957, 189572, 189597, 1234397, 1839597, 1958798, 1983957, 3978594, 11983957, 19596487, 29195397, 39599197, 195991487, 339799143, 395991697, 1429199397, 1679895983, 1983994799, 2239951987, 11959939917, 15991995897

Offset: 1

Author

J. Lowell, Apr 27 2017

Keywords

• nonn
• base

Comments

Any proof that this sequence is infinite?

This sequence is infinite because A039938 is indeed infinite and for any number k there is a multiple of k which does not contain a '7', so A039938 contains infinitely many distinct terms. Both parts are easy to prove. - Giovanni Resta, Feb 26 2019

Links

• Giovanni Resta, Table of n, a(n) for n = 1..32

Crossrefs

Cf. A039938.

Subsequence of A011537.

Programs

Mathematica

Union@ Table[SelectFirst[Range[10^6], Times @@ Boole@ Map[DigitCount[#, 10, 7] > 0 &, # Range@ n] > 0 &], {n, 12}] (* Michael De Vlieger, Apr 27 2017, Version 10 *)

Extensions

a(19)-a(28) from Giovanni Resta, Apr 27 2017