OFFSET
1,2
COMMENTS
The numbers b(d) of terms from 10^(d-1) to 10^d satisfy the recurrence b(d) = 6 b(d-1) - 6 b(d-2) + 5 b(d-3) with b(1)=1, b(2)=6, b(3)=33. For d >= 4, b(d) = (3*A276508(d) - 10*A276508(d-1) + 3*A276508(d-2))/7. - Robert Israel, Feb 15 2017
LINKS
EXAMPLE
228 has all even digits and 228 = 3*76.
MAPLE
N:= 4: # for all terms < 10^N
E[1, 0]:= {6}:
E[1, 1]:= {4}:
E[1, 2]:= {2, 8}:
for n from 2 to N do
for j from 0 to 2 do
E[n, j]:= map(t -> (10*t, 10*t+6), E[n-1, j]) union
map(t -> (10*t+2, 10*t+8), E[n-1, j+1 mod 3]) union
map(t -> 10*t+4, E[n-1, j+2 mod 3]);
od od:
A:=sort([0, seq(op(E[i, 0]), i=1..N)]); # Robert Israel, Feb 15 2017
PROG
(PARI) is(n)=n%3==0 && #setintersect(Set(digits(n)), [1, 3, 5, 7, 9])==0 \\ Charles R Greathouse IV, Feb 15 2017
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Amarnath Murthy, May 28 2001
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), May 30 2001
Offset corrected by Charles R Greathouse IV, Feb 15 2017
STATUS
approved