OFFSET
1,1
COMMENTS
There are 8991 terms < 100000.
LINKS
Jean-Marc Falcoz, Table of n, a(n) for n = 1..8991
EXAMPLE
Consider the first term, 110: the part "a" is "1", the penultimate digit "b" of "110" is "1" and the last digit "c" of "110" is "0"; we see indeed that 1/1 leaves a remainder of 0.
Consider the second term, 121: we see indeed that 1/2 leaves a remainder of 1 -- but no term between 110 and 121 has the same property (117, for instance, doesn't fit because 1/1 has 0 as remainder -- and not 7 as it should have to be part of the sequence).
Similarly, the integer 1983 is part of the sequence because 19/8 leaves a remainder of 3.
MATHEMATICA
Select[Range[100, 1000], (u = Mod[#, 10]; d = Mod[(# - u)/10, 10]; d > 0 && u == Mod[Floor[#/100], d]) &] (* Giovanni Resta, Apr 11 2017 *)
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Eric Angelini and Jean-Marc Falcoz, Apr 11 2017
STATUS
approved