A028374 Numbers that have only curved digits {0, 3, 6, 8, 9} or digits that are both curved and linear {2, 5}.

0, 2, 3, 5, 6, 8, 9, 20, 22, 23, 25, 26, 28, 29, 30, 32, 33, 35, 36, 38, 39, 50, 52, 53, 55, 56, 58, 59, 60, 62, 63, 65, 66, 68, 69, 80, 82, 83, 85, 86, 88, 89, 90, 92, 93, 95, 96, 98, 99, 200, 202, 203, 205, 206, 208, 209, 220, 222, 223, 225, 226, 228, 229, 230, 232, 233

Offset

1,2

Comments

From Bernard Schott, Mar 26 2023: (Start)

Previous name was: "Curved numbers: numbers that have only curved digits (0, 2, 3, 5, 6, 8, 9)"; but in fact, the curved numbers form the sequence A072960.

This sequence allows all digits except for 1, 4 and 7. (End)

Links

K. D. Bajpai, Table of n, a(n) for n = 1..10000

Index entries for 10-automatic sequences.

Example

From K. D. Bajpai, Sep 07 2014: (Start)
206 is in the sequence because it has only curved digits 2, 0 and 6.
208 is in the sequence because it has only curved digits 2, 0 and 8.
2035689 is the smallest number having all the curved digits.
(End)

Maple

N:= 3: S:= {0, 2, 3, 5, 6, 8, 9}: K:= S:
for j from 2 to N do
     K:= map(t -> seq(10*t+s, s=S), K);
         od:
print( K);  # K. D. Bajpai, Sep 07 2014

Mathematica

f[n_] := Block[{id = IntegerDigits[n], curve = {0, 2, 3, 5, 6, 8, 9}}, If[ Union[ Join[id, curve]] == curve, True, False]]; Select[ Range[0, 240], f[ # ] & ]
Select[Range[0, 249], Union[DigitCount[#] * {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}] == {0} &] (* Alonso del Arte, May 23 2014 *)
Select[Range[0, 500], Intersection[IntegerDigits[#], {1, 4, 7}]=={}&] (* K. D. Bajpai, Sep 07 2014 *)

Prog

(Python)
for n in range(10**3):
  s = str(n)
  if not (s.count('1') + s.count('4') + s.count('7')):
    print(n, end=', ') # Derek Orr, Sep 19 2014
(Magma) [n: n in [0..300] | Set(Intseq(n)) subset [0, 2, 3, 5, 6, 8, 9] ]; // Vincenzo Librandi, Sep 19 2014

Crossrefs

Cf. A028373 (straight digits: 1, 4, 7), A072960 (curved digits: 0, 3, 6, 8, 9), A072961 (both straight and curved digits: 2, 5).

Combinations: A082741 (digits: 1, 2, 4, 5, 7), A361780 (digits: 0, 1, 3, 4, 6, 7, 8, 9).

Cf. A034470 (subsequence of primes).

Sequence in context: A335658 A364807 A294941 * A050578 A283513 A028776

Adjacent sequences: A028371 A028372 A028373 * A028375 A028376 A028377

Keyword

base,easy,nonn

Author

Greg Heil (gheil(AT)scn.org), Dec 11 1999

Extensions

Corrected and extended by Rick L. Shepherd, May 21 2003

Offset corrected by Arkadiusz Wesolowski, Aug 15 2011

Definition clarified by Bernard Schott, Mar 25 2023

Status

approved