OFFSET
1,1
COMMENTS
All terms end in 0, 2, 4, or 8.
A number k ending in 0 is in this sequence if and only if k/10 is in the sequence.
For a number with an odd digit to be in this sequence, the immediately following digit cannot be 0.
For a number with a 6 to be in this sequence, the immediately following digit must be in the 5 to 9 interval.
This sequence has no members with the digit string "67".
LINKS
Iain Fox, Table of n, a(n) for n = 1..10000
EXAMPLE
22*9 = 198, which contains the digit 9 (which is the number by which we multiplied 22) so 22 is not in this sequence.
MATHEMATICA
Select[Range[2, 720, 2], Function[n, AllTrue[Range@ 9, FreeQ[IntegerDigits[n #], #] &]]] (* Michael De Vlieger, Dec 16 2017 *)
PROG
(PARI) is(k) = for(d=1, 9, if(setsearch(Set(digits(d*k)), d), return(0))); 1 \\ Iain Fox, Dec 16 2017
CROSSREFS
KEYWORD
base,nonn
AUTHOR
J. Lowell, Dec 16 2017
EXTENSIONS
More terms from Jon E. Schoenfield, Dec 16 2017
STATUS
approved