OFFSET
1,3
COMMENTS
Apparently there exist only 5 pairs of consecutive integers belonging this sequence, a(k+1)-a(k)=1 for k in (1,2,10,18,26). Respectively those pairs are: (0;1), (1;2), (3;4), (5;6), and (7;8).
It seems that a(j)=j only for j in (12,14,31,53,55,60,71,73,75,82,84,95,102). - R. J. Cano, Apr 22 2018
LINKS
R. J. Cano, Table of n, a(n) for n = 1..10000
R. J. Cano, A sequencer program in PARI.
EXAMPLE
a(10)=3 since it shares a digit (3) with a(8)=13, and shares no digit with a(9)=24.
PROG
(PARI) See Cano link.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Enrique Navarrete, Apr 20 2018
STATUS
approved