[go: up one dir, main page]

login
A192173
Numbers whose writing in every base from 2 to 10 requires all ten (0-9) digits at least once.
0
159, 179, 189, 239, 319, 389, 395, 397, 399, 489, 494, 498, 559, 598, 629, 639, 679, 691, 695, 696, 697, 698, 699, 709, 789, 791, 829, 839, 879, 894, 895, 897, 898, 917, 935, 953, 958, 962, 963, 964, 965, 966, 967, 968, 969, 978, 981, 983, 985, 986, 989
OFFSET
1,1
FORMULA
a(n) ~ n. - Charles R Greathouse IV, May 15 2013
EXAMPLE
(159)10 = (10011111)2 = (12220)3 =(2133)4 = (1114)5 =(423)6=(315)7=(237)8=(186)9 . All digits 0,1,2,3,4,5,7,8,6,9 are used at least once.
MATHEMATICA
With[{c=Range[0, 9]}, Select[Range[3000], Union[Flatten[Table[IntegerDigits[#, n], {n, 2, 10}]]]==c&]] (* Harvey P. Dale, Jul 06 2011 *)
CROSSREFS
Subsequence of A011539. - Charles R Greathouse IV, May 15 2013
Sequence in context: A207146 A045260 A280967 * A093472 A270304 A281665
KEYWORD
nonn,base,easy
AUTHOR
Claudio Meller, Jun 24 2011
EXTENSIONS
Corrected by Harvey P. Dale, Jul 06 2011
STATUS
approved