cp's OEIS Frontend

The first 23 terms are the same first 23 terms of A034838 then a(24) = 101 while A034838(24) = 111.

Terms of A034709 beginning with 1 and terms of A034837 ending with 1 are terms.

All positive repdigits (A010785) are terms.

There are infinitely many terms m for any of the 53 pairs (first digit, last digit) of m described below: when m begins with {1, 3, 7, 9} then m ends with any digit from 1 to 9; when m begins with {2, 4, 6, 8}, then m must also end with {2, 4, 6, 8}; to finish, when m begins with 5, m must only end with 5. - Metin Sariyar, Jan 29 2021

A Lynch-Bell number is a positive integer n with distinct nonzero digits such that each of its digits divides the number: n mod d = 0 if d is a digit of n.

The Lynch-Bell numbers are those positive integers k with distinct nonzero digits such that each digit divides k: k mod d = 0 if d is a digit of k.

This sequence can be seen as the union of 99 linear sequences of the form a_i*k+i, for i=1,...,99 and k>0, where a_i depends on i. For example, 100*k+1, 100*k+2, 300*k+3,..., 4700*k+94, 1900*k+95,..., 9900*k+99. Hence, in analogy with A034709, there exist two numbers p and q such that a(p*k+i) = q*k + a(i), where q <= lcm(1,2,...,99). - Giovanni Resta, Aug 20 2015